Content-Type: multipart/mixed; boundary="-------------1210231525684" This is a multi-part message in MIME format. ---------------1210231525684 Content-Type: text/plain; name="12-127.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="12-127.keywords" Consensus, linear matrix inequality, directed network, uncertainty, time-varying delay ---------------1210231525684 Content-Type: application/postscript; name="average consensus.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="average consensus.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.94b Copyright 2004 Radical Eye Software %%Title: average consensus.dvi %%CreationDate: Tue Oct 23 15:23:57 2012 %%Pages: 18 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: CMBX12 CMR10 CMTT10 CMBX10 CMMI10 CMSY10 CMMI8 CMEX10 %%+ CMR8 MSBM10 CMSY8 CMMI6 CMTI10 LASY10 Helvetica CMR9 CMMI9 CMR6 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips.exe "average consensus.dvi" %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2012.10.23:1518 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: texps.pro 0 0 %! 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cleartomark %%EndFont %%BeginFont: LASY10 %!PS-AdobeFont-1.1: LASY10 1.001 %%CreationDate: 1992 Oct 23 20:19:17 %%RevisionDate: 2001 Jun 05 20:19:17 % Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.001) readonly def /Notice (Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved) readonly def /FullName (LASY10) readonly def /FamilyName (LaTeX) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /LASY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 50 /a50 put readonly def /FontBBox{-19 -192 944 683}readonly def /UniqueID 5011949 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 49 /one put dup 50 /two put dup 52 /four put dup 53 /five put dup 55 /seven put dup 56 /eight put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec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309178B57C16A763CFC9BEEC276944BDEA255789EF4E1ECDE1EA43EEDB955513 F42EDDCF39AE522A1DC2D80B2772B05DA60F3DC15A815A6BAFEDC399C7956E75 3851CB3588E22936FBFB63A58300298B11C45D82385C083D07AF133BB1BC941A FDD9F34D5E0B8087EF2A58C54D8AB7580EE3ED58AEB83B72CB9028F472ADBF11 05A77651F118824F6CD00209EFB60C1D32D46DF39770905D31D051FF2ACECBD0 08911D3CC25B783103E4A26EFDD866414ED5F0DD28A4BBEB1461ADD6EC174A1E 75AFFD283746EA8657E33B8872EA021C6875189718CA0E705F28A9792E71452A B89E04787CB1DE71CCC500EA765379AE119A4D5F99F68D41B9178C7C8ED352E0 A1E6DC9DF53C5301100FA3234C1D8E2EB7D5E267C640158A7C16ED424F1F801E D49A6E55D88E47257C1FE6F4911A80F453FE60FAC91C0F1C634BC8303F889319 2249F256E3D03ABCABBEF82548BE9EE4760D5AFEC07FBDEA52A0AD12BEC7726C C7A5EF714229940B17A6B638974A56D694D6F66A013BA2D8D4A60B81A2F0B8BB 839F9556152C5BC58EF11F3392440891BF16D3719830F0B8E3B6FCB618638E01 A19F16AE1D99A5860B971821C592B61FC63E040598B5500D68D39FB3981109A9 56DB6FF02DF6983CB9E2B416530EE62AA21AFD61D2AF2EDFB1586A8D0B7F54ED 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 105 /i put dup 109 /m put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 50 /element put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSBM10 %!PS-AdobeFont-1.1: MSBM10 2.1 %%CreationDate: 1993 Sep 17 11:10:37 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 82 /R put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF5B8CABB9FFC6A66A4000A13D5F68BFF326D 1D432B0D064B56C598F4338C319309181D78E1629A31ECA5DD8536379B03C383 D10F04E2C2822D3E73F25B81C424627D3D9A158EAB554233A25D3C6849ABA86F 1F25C1667CB57D2E79B7803083CB7CC0616467F68450D9A3FEAB534EB9721003 DBFEEFD050F3AC3492F5C74162A9A531ECEC0F47610B4940E946D21CAA771D30 A6C27ECBA11708CC46C62396BF9D1990D579D0C394899D24FE7A4382EA18E7E1 160E7283AF5BE17254790628E79FCC206F28B5566075B3A5697D5209062544FF D85FD89D6F43D6588B242AB2666B5D2861CD38A8CE676503EDFAE84D12A71E77 8405E468FE391F4F3F50D2C57ED55512036B0DB8E76A7EF413ED08673E56DE2C 16A3B65CD478433C0D2F9FEC4E662D54DAA43CFA6957D2A9AF8979BE06F70B68 ED4C8C493D6DAC4971A3F1D010A7726D084EC1074FECD7D12D72AE16C26194AF 21AF5774D9B860EEE8608D34F150092F09C19959BAA670022B9A9F263CD391E3 74DD1D1B4CD4D75273CAA4E37F68C631723E08FA35AD34C0AFB4621AE6689861 854D16CE1C375FD159A337E221A6FF1CFFB5693A0623E7EBB58C2969F590D081 AD92DD9E5322E26D6A15023664AC73A355998BCC48ADD0E7A4BC79790519606F A1FEF6075033BCD422EE8233B83D1E7C20043280D531223D5AD4D5B41669F884 95CE4D6DDE819B588742B930C579EDF743F2C74C95F717FAA6154FADC3FE2975 F59CFB1C1A29059487E75C48505BAEAD7145667D4E18E46E610C868A257173ED 0D30EAA4C090854DD8378E92D0A376226EA7DA63798F247BAC770FE26D70E72F 90CCFAADF118304646955B0310C65F6CA51BEEEF87AFFE294D08C44354C73E8D 7AE0751CEBE41E68D7E91ED09D4F0FE329150A34D0DEE8F7AED88AFB66381817 364A65B9F1F9C6416198FB016FC8456DEEFED46BF4E1F873527AF52C13078ABF 93CFA6D5E87708787DC837B554561D07B2DB9A89B886A92E7615598566203FE5 96A6D048ACFEF549BBCE51A9EE6CE333704CFD95926DFC740F5A6896D22EBB27 79603F94943CBC04381C62F5C0AB6FEFCE9B71ABFF7FA10A060D7CE5BFE481B0 32E05B3C998C9D89CD66E4DAB5422D01B386769A45984EA2B3250786533E85CB 9F1595D3556EAAE9BAB4793D6245EC8B8D16A47697B51772CB644BD58E81F416 B01A9223997DCF9AAB43FB3CE9C8778039BA2D8E075FC02BB3FA5D66CCA58D24 D9E0261DBB8C11092320D9B0F5CC79FAF53EF2AFD99D5A7732B1962668A85807 9468AF19C570B30F7C798A4DC45D0AAB6E51DE57FCE9F19C468741F1B55ACB6F C9357E6ADFF2A2E2E84037170DD9E3F217D22DDEE6E8660C7988961BDE9990AB 4CF63B8D0D60190BFE810A5661C8E02D32283B304CB434533629D0D3826548F7 EECDE3892C213BCF51BB7257B1C073A39928D1B67DC28E98CB0F7D1D0B158EE6 D49E399D58B3C6321CC9A2696F019E6F7EC0DADC 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 58 /colon put dup 65 /A put dup 67 /C put dup 69 /E put dup 75 /K put dup 76 /L put dup 80 /P put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 108 /l put dup 109 /m put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5F00F963068B8B731A88D7740B0DDAED1B3F82 7DB9DFB4372D3935C286E39EE7AC9FB6A9B5CE4D2FAE1BC0E55AE02BFC464378 77B9F65C23E3BAB41EFAE344DDC9AB1B3CCBC0618290D83DC756F9D5BEFECB18 2DB0E39997F264D408BD076F65A50E7E94C9C88D849AB2E92005CFA316ACCD91 FF524AAD7262B10351C50EBAD08FB4CD55D2E369F6E836C82C591606E1E5C73F DE3FA3CAD272C67C6CBF43B66FE4B8677DAFEEA19288428D07FEB1F4001BAA68 7AAD6DDBE432714E799CFA49D8A1A128F32E8B280524BC8041F1E64ECE4053C4 9F0AEC699A75B827002E9F95826DB3F643338F858011008E338A899020962176 CF66A62E3AEF046D91C88C87DEB03CE6CCDF4FB651990F0E86D17409F121773D 6877DF0085DFB269A3C07AA6660419BD0F0EF3C53DA2318BA1860AB34E28BAC6 E82DDB1C43E5203AC9DF9277098F2E42C0F7BD03C6D90B629DE97730245B8E8E 8903B9225098079C55A37E4E59AE2A9E36B6349FA2C09BB1F5F4433E4EEFC75E 3F9830EB085E7E6FBE2666AC5A398C2DF228062ACF9FCA5656390A15837C4A99 EC3740D873CFEF2E248B44CA134693A782594DD0692B4DBF1F16C4CDECA692C4 0E44FDBEF704101118BC53575BF22731E7F7717934AD715AC33B5D3679B784C9 4046E6CD3C0AD80ED1F65626B14E33CFDA6EB2825DC444FA6209608D3976637A DB9C73EB3A28623DF758C25574D740385B2C3D10086AEB904A33DD76DA2CC4BF 7E37F9117E9D81D3EFDA12D5BDF0067450C5A8A53959C055C5D6087F1FE6FB5D 8306F16FAD71AB986320F1229440C63ACB5FA24E41CFEB12C2BEA2C25E59A3F9 6CA5B7A04B57F2471D36F5B41E6363DCEFF2DFFE9131F044125884739392333E 15418156EEE8DE92EF4C176742032FE8889839755D8D821CD7F8FAAF8A22C283 19F79216C6D454A864898EE9F830DB5F3372B8F47C464DF19C69ACB3BC0566E2 F25E7FF148B2CDA2B90CB5884440F464CD57295728A4415963CC1BC0635BBEF4 E812CA5E0E788035873D05616F7B0F6A30D36BB285E7955CFD860345F16D952A BF2F7D2702DB352D0874442B2074859EB49313BC27E100B26E3DCF1C296B7A38 607BF88B0087D066E2F1F2719962039D4BF1E32ECB791F05818DE1ACAEC841FA 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4110B21364539A5DB43F882E75D1DC9F4EB23CE3327517FAA1EE425422 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 4 /Xi put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 61 /equal put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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3725D8F344A0374DE2CE9307C7B51152A6B40C98014069F075619F57A3BACE11 466107538AE7739318A75FCB47A34012B17687F198C1C909C205F96E5665DBCB 5A41816EBFAB245EA90A19C0D16606D5D26C8A1E90B584344F9CB7FCDF283BA8 B9A8BE21F421562F85C4BED290AB2DBAA988FBF43AB70954ECDA8D233ECB3A06 9F90FCDE1E2FD361D468F8551EFE91152C0A3974ABAF092E367B887F7ABDD3B3 EFABE32A499C96FA579F40225156471D59BE176EEDCDE6BC1ED36EF530CF4B78 DFCD21621DBFBC6AD4F30F059055C37BE13A2F2E43BE67DCE95FE921EE46CD9D 5F512D861DB288C470464F5388E1F07320C3168C75416FA4118CE175889440AF 2FC826E8FC7BB7A35FC0B51402273B264FC3C49726BECD7D8306B44F360D134D BE231A89CD36E77A066D7CFFF995F76D43C111B8DA29BEE5A3DF964B546A6C5F 5EFBC8978C187922654425675A334154F177DEF5C9AD010133BCCA231A18790F 58AE90C5567296FD152BFF67AA22FD3DCBFB012553A7B77241457BF76B1E4859 55438FA53EC4BB4E4E6E41A5391D7DAA0B4AAFF49668984D2235D879CE641966 9B977A3ABAF4DC94DF17C539A8591385143787C3D075B5A9C4D3FF0A5E4D53EC 1A3D2A7278E2F02E7ED7299F1DABF88F7DDCFE7A5FAD19C810AEE00759C2C151 9DB0ACC49EE77812FE3B4C0ECA67347C0774684F71A5B9C46AA0FB3DEC7B4105 F597B637AA25E039D0FEDEA2147577972D94A31FA44A3817C31D56F0635C46DC 37CABB22895BF39E2E702F1EA8D75B6997A07BA6E6E983087C2DB71D2397100A 1B0D1810A983AA831B2BE8373B887F91FC9671883C6517D675D4301BA46B6848 22CE3E4AF4E6A2183DD08F2977269240283E4AC08DDC6F 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 16 /parenleftBig put dup 17 /parenrightBig put dup 32 /parenleftBigg put dup 33 /parenrightBigg put dup 34 /bracketleftBigg put dup 35 /bracketrightBigg put dup 50 /bracketlefttp put dup 51 /bracketrighttp put dup 52 /bracketleftbt put dup 53 /bracketrightbt put dup 54 /bracketleftex put dup 55 /bracketrightex put dup 56 /bracelefttp put dup 58 /braceleftbt put dup 60 /braceleftmid put dup 80 /summationtext put dup 88 /summationdisplay put dup 90 /integraldisplay put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueID 5000774 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 14 /delta put dup 28 /tau put dup 59 /comma put dup 77 /M put dup 78 /N put dup 84 /T put dup 105 /i put dup 106 /j put dup 107 /k put dup 109 /m put dup 110 /n put dup 116 /t put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 18 /reflexsubset put dup 20 /lessequal put dup 21 /greaterequal put dup 33 /arrowright put dup 49 /infinity put dup 50 /element put dup 54 /negationslash put dup 102 /braceleft put dup 103 /braceright put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 14 /delta put dup 17 /eta put dup 27 /sigma put dup 28 /tau put dup 34 /epsilon put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 65 /A put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 81 /Q put dup 82 /R put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 97 /a put dup 100 /d put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 120 /x put dup 121 /y put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 45 /hyphen put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 65 /A put dup 67 /C put dup 73 /I put dup 78 /N put dup 80 /P put dup 82 /R put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end 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cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 4 /Xi put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 19 /acute put dup 22 /macron put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 93 /bracketright put dup 94 /circumflex put dup 95 /dotaccent put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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Fs(\011)459 4006 y Fj(1)p Fl(;)p Fj(1)573 3992 y Fs(+)20 b(\012)171 b(\011)972 4006 y Fj(1)p Fl(;)p Fj(2)1326 3992 y Fs(\011)1397 4006 y Fj(1)p Fl(;)p Fj(3)1662 3992 y Fm(\001)15 b(\001)g(\001)253 b Fs(\011)2091 4006 y Fj(1)p Fl(;M)7 b Fj(+1)2745 3992 y Fs(\011)2816 4006 y Fj(1)p Fl(;M)g Fj(+2)3358 3992 y Fn(U)3430 3959 y Fl(T)536 4161 y Fm(\003)232 b Fs(\011)884 4175 y Fj(2)p Fl(;)p Fj(2)998 4161 y Fs(+)20 b(\012)231 b(0)g Fm(\001)15 b(\001)g(\001)378 b Fs(0)555 b(\011)2816 4175 y Fj(2)p Fl(;M)7 b Fj(+2)3399 4161 y Fs(0)536 4338 y Fm(\003)380 b(\003)232 b Fs(\011)1309 4352 y Fj(3)p Fl(;)p Fj(3)1423 4338 y Fs(+)20 b(\012)1671 4280 y Fe(.)1709 4305 y(.)1747 4330 y(.)2153 4272 y(.)2153 4305 y(.)2153 4338 y(.)2878 4272 y(.)2878 4305 y(.)2878 4338 y(.)3408 4272 y(.)3408 4305 y(.)3408 4338 y(.)545 4448 y(.)545 4482 y(.)545 4515 y(.)970 4448 y(.)970 4482 y(.)970 4515 y(.)1357 4457 y(.)1395 4482 y(.)1433 4507 y(.)1671 4457 y(.)1709 4482 y(.)1747 4507 y(.)2145 4515 y Fs(0)2878 4448 y Fe(.)2878 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Fn(;)3521 5150 y Fs(\(9\))94 5320 y Fe(wher)-5 b(e)794 5489 y Fs(\011)865 5503 y Fj(1)p Fl(;)p Fj(1)984 5489 y Fs(=)25 b Fn(U)1152 5451 y Fl(T)1223 5333 y Fk( )1333 5375 y Fl(M)1305 5403 y Fk(X)1295 5597 y Fl(m)p Fj(=1)1447 5489 y Fs(\()p Fn(\015)1529 5503 y Fl(m)1596 5489 y Fn(P)33 b Fm(\000)20 b Fn(L)g Fm(\000)g Fn(L)2013 5451 y Fl(T)2068 5489 y Fs(\))2103 5333 y Fk(!)2191 5489 y Fn(U;)108 b Fs(\012)25 b(=)g Fn(\013)2631 5451 y Fj(2)2671 5489 y Fn(hU)2795 5451 y Fl(T)2850 5489 y Fn(U;)1843 5809 y Fs(6)p eop end %%Page: 7 7 TeXDict begin 7 6 bop 406 219 a Fs(\011)477 233 y Fj(1)p Fl(;m)p Fj(+1)713 219 y Fs(=)25 b Fn(U)881 181 y Fl(T)936 219 y Fs(\()p Fn(L)c Fs(+)e(\(1)i Fm(\000)f Fn(\015)1383 233 y Fl(m)1450 219 y Fs(\))p Fn(P)13 b Fs(\))p Fn(U;)109 b Fs(\011)1858 233 y Fl(m)p Fj(+1)p Fl(;m)p Fj(+1)2212 219 y Fs(=)25 b Fn(U)2380 181 y Fl(T)2435 219 y Fs(\(\()p Fn(\015)2552 233 y Fl(m)2639 219 y Fm(\000)20 b Fs(1\))p Fn(P)34 b Fm(\000)20 b Fn(\016)3036 181 y Fg(\000)p Fj(1)3033 241 y Fl(m)3131 219 y Fn(Q)p Fs(\))p Fn(U;)566 419 y Fs(\011)637 433 y Fj(1)p Fl(;M)7 b Fj(+2)887 419 y Fs(=)24 b Fm(\000)p Fn(M)10 b(U)1223 381 y Fl(T)1278 419 y Fn(L)1340 381 y Fl(T)1395 419 y Fn(Q;)108 b Fs(\011)1671 433 y Fl(m)p Fj(+1)p Fl(;M)7 b Fj(+2)2038 419 y Fs(=)25 b Fn(U)2206 381 y Fl(T)2261 419 y Fn(L)2323 381 y Fl(T)2378 419 y Fn(Q;)108 b(m)25 b Fs(=)g(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)5 b(;)94 619 y(U)44 b Fe(is)33 b(de\014ne)-5 b(d)35 b(as)f(in)g(L)-5 b(emma)35 b(1,)f Fn(P)40 b Fm(\025)27 b Fs(0)34 b Fe(and)g Fn(Q)27 b(>)g Fs(0)34 b Fe(ar)-5 b(e)35 b Fn(n)20 b Fm(\002)h Fn(n)33 b Fe(matric)-5 b(es)35 b(to)f(b)-5 b(e)34 b(determine)-5 b(d,)35 b(and)94 788 y Fn(h)26 b(>)f Fs(0)33 b Fe(is)f(a)h(c)-5 b(onstant.)94 974 y Fi(Pro)s(of.)59 b Fs(First,)39 b(w)m(e)e(sho)m(w)f(that)h(\(9\))h (is)e(alw)m(a)m(ys)i(feasible)f(for)f(an)m(y)h(0)f Fm(\024)f Fn(\015)2695 988 y Fl(m)2797 974 y Fn(<)g Fs(1)i(\()p Fn(m)e Fs(=)g(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)10 b Fs(\))94 1144 y(and)27 b(suitable)h Fn(\013)d(>)g Fs(0)j(under)e(the)h(assumptions)g(of)g(Theorem)g(1.)40 b(In)27 b(other)h(w)m(ords,)f(there)h(exist)g(some)94 1313 y(matrices)h Fn(P)38 b Fm(\025)25 b Fs(0,)k Fn(Q)c(>)g Fs(0,)k(constan)m(ts)f Fn(h)e(>)f Fs(0,)k Fn(\013)d(>)e Fs(0,)29 b(and)e Fn(\016)2203 1327 y Fl(m)2296 1313 y Fn(>)e Fs(0)j(\()p Fn(m)d Fs(=)g(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)10 b Fs(\))29 b(suc)m(h)e(that)h(\(9\))94 1482 y(holds)g(for)g(an)m(y)h(0)d Fm(\024)f Fn(\015)851 1496 y Fl(m)943 1482 y Fn(<)g Fs(1)k(\()p Fn(m)c Fs(=)g(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)10 b Fs(\).)41 b(Since)29 b Fn(G)g Fs(is)f(w)m(eakly)i(connected)f(and)f (balanced,)i(w)m(e)94 1652 y(ha)m(v)m(e)h Fn(U)375 1619 y Fl(T)430 1652 y Fs(\()p Fn(L)18 b Fs(+)g Fn(L)696 1619 y Fl(T)750 1652 y Fs(\))p Fn(U)36 b(>)25 b Fs(0)30 b(b)m(y)f(Lemma)g (1.)41 b(T)-8 b(ak)m(e)31 b Fn(P)38 b Fs(=)25 b(0)30 b(and)e Fn(Q)d Fs(=)g Fn(I)2507 1666 y Fl(n)2554 1652 y Fs(.)41 b(Lemma)29 b(2)h(implies)f(that)h(\(9\))94 1821 y(is)g(tan)m(tamoun)m(t)i(to)177 1896 y Fk(2)177 2056 y(6)177 2110 y(6)177 2165 y(6)177 2219 y(6)177 2274 y(6)177 2328 y(6)177 2383 y(6)177 2438 y(6)177 2492 y(6)177 2550 y(4)279 1993 y Fn(M)10 b(U)449 1960 y Fl(T)504 1993 y Fs(\()p Fn(\013)597 1960 y Fj(2)638 1993 y Fn(hM)788 1960 y Fg(\000)p Fj(1)882 1993 y Fn(I)922 2007 y Fl(n)989 1993 y Fm(\000)20 b Fn(L)g Fm(\000)g Fn(L)1315 1960 y Fl(T)1370 1993 y Fs(\))p Fn(U)298 b(U)1837 1960 y Fl(T)1892 1993 y Fn(LU)f Fm(\001)15 b(\001)g(\001)303 b Fn(U)2793 1960 y Fl(T)2848 1993 y Fn(LU)405 b Fm(\000)p Fn(M)10 b(U)3618 1960 y Fl(T)3672 1993 y Fn(L)3734 1960 y Fl(T)856 2162 y Fm(\003)660 b Fs(\()p Fn(\013)1654 2129 y Fj(2)1694 2162 y Fn(h)20 b Fm(\000)g Fn(\016)1900 2124 y Fg(\000)p Fj(1)1897 2188 y(1)1996 2162 y Fs(\))p Fn(U)2103 2129 y Fl(T)2158 2162 y Fn(U)131 b Fs(0)433 b(0)587 b Fn(U)3533 2129 y Fl(T)3588 2162 y Fn(L)3650 2129 y Fl(T)866 2272 y Fs(.)866 2306 y(.)866 2339 y(.)982 b Fm(\003)2326 2281 y Fs(.)2361 2306 y(.)2396 2331 y(.)2829 2339 y(0)3570 2272 y(.)3570 2306 y(.)3570 2339 y(.)856 2508 y Fm(\003)972 b(\003)433 b(\003)121 b Fs(\()p Fn(\013)2610 2475 y Fj(2)2650 2508 y Fn(h)21 b Fm(\000)f Fn(\016)2857 2470 y Fg(\000)p Fj(1)2854 2537 y Fl(M)2952 2508 y Fs(\))p Fn(U)3059 2475 y Fl(T)3114 2508 y Fn(U)285 b(U)3533 2475 y Fl(T)3588 2508 y Fn(L)3650 2475 y Fl(T)856 2677 y Fm(\003)972 b(\003)395 b(\001)15 b(\001)g(\001)411 b(\003)395 b Fs(\()3304 2609 y Fk(P)3401 2636 y Fl(M)3401 2704 y(m)p Fj(=1)3573 2677 y Fn(\016)3613 2691 y Fl(m)3680 2677 y Fs(\))3715 2644 y Fg(\000)p Fj(1)3809 2677 y Fn(I)3849 2691 y Fl(n)3938 1896 y Fk(3)3938 2056 y(7)3938 2110 y(7)3938 2165 y(7)3938 2219 y(7)3938 2274 y(7)3938 2328 y(7)3938 2383 y(7)3938 2438 y(7)3938 2492 y(7)3938 2550 y(5)1423 3211 y Fs(+)p Fn(h)1546 3178 y Fg(\000)p Fj(1)1656 2783 y Fk(2)1656 2943 y(6)1656 2998 y(6)1656 3052 y(6)1656 3107 y(6)1656 3161 y(6)1656 3216 y(6)1656 3270 y(6)1656 3325 y(6)1656 3379 y(6)1656 3438 y(4)1758 2880 y Fn(U)1830 2847 y Fl(T)1799 3049 y Fs(0)1809 3160 y(.)1809 3193 y(.)1809 3226 y(.)1799 3395 y(0)1778 3565 y Fn(I)1818 3579 y Fl(n)1927 2783 y Fk(3)1927 2943 y(7)1927 2998 y(7)1927 3052 y(7)1927 3107 y(7)1927 3161 y(7)1927 3216 y(7)1927 3270 y(7)1927 3325 y(7)1927 3379 y(7)1927 3438 y(5)2002 3211 y Fs([)p Fn(U)41 b Fs(0)46 b Fm(\001)15 b(\001)g(\001)46 b Fs(0)31 b Fn(I)2488 3225 y Fl(n)2535 3211 y Fs(])25 b Fn(<)g Fs(0)p Fn(:)1169 b Fs(\(10\))94 3747 y(Since)42 b Fn(U)415 3714 y Fl(T)470 3747 y Fs(\()p Fn(L)28 b Fs(+)f Fn(L)755 3714 y Fl(T)810 3747 y Fs(\))p Fn(U)55 b(>)44 b Fs(0)e(and)f Fn(U)1424 3714 y Fl(T)1479 3747 y Fn(U)54 b(>)44 b Fs(0,)i(b)m(y)41 b(c)m(ho)s(osing)i(suitable)f Fn(h;)15 b(\013;)g(\016)2924 3761 y Fl(m)3035 3747 y Fs(and)41 b(rep)s(eatedly)94 3916 y(emplo)m(ying)35 b(Lemma)g(2,)h(w)m(e)f(can)f(easily)i(see)f (that)g(\(10\))h(holds.)52 b(Therefore,)36 b(\(9\))f(is)f(alw)m(a)m(ys) i(feasible)94 4086 y(for)30 b(an)m(y)h(0)26 b Fm(\024)f Fn(\015)619 4100 y Fl(m)710 4086 y Fn(<)g Fs(1)31 b(and)f(suitable)h Fn(\013)26 b(>)e Fs(0.)235 4255 y(Next,)36 b(w)m(e)e(will)h(sho)m(w)e (that)i(for)f(an)m(y)g(0)e Fm(\024)e Fn(\015)1772 4269 y Fl(m)1870 4255 y Fn(<)h Fs(1)j(and)g(appropriate)g Fn(\013)d(>)g Fs(0,)36 b(the)e(m)m(ulti-agen)m(t)94 4424 y(system)41 b(\(4\))g(ac)m(hiev)m(es)i(a)m(v)m(erage)g(consensus)d (asymptotically)j(for)e Fn(\034)2498 4438 y Fl(m)2606 4424 y Fm(\024)h Fn(\016)2759 4438 y Fl(m)2867 4424 y Fs(for)e Fn(m)i Fs(=)g(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)33 b Fn(;)15 b(M)10 b Fs(,)94 4594 y(when)34 b(\(9\))h(holds.)53 b(It)35 b(follo)m(ws)h(from)e(\(6\))i(that)f(it)g(su\016ces)f(to)i(sho) m(w)e(the)h(asymptotical)i(stabilit)m(y)f(of)94 4763 y(the)31 b(zero)g(solution)g(of)f(error)g(system)h(\(7\).)42 b(W)-8 b(e)31 b(de\014ne)f(the)g(Ly)m(apuno)m(v)h(function)f(as)g (follo)m(ws)139 5007 y Fn(V)21 b Fs(\()p Fn(t)p Fs(\))k(=)g Fn(")p Fs(\()p Fn(t)p Fs(\))582 4969 y Fl(T)638 5007 y Fn(")p Fs(\()p Fn(t)p Fs(\))19 b(+)929 4893 y Fl(M)901 4921 y Fk(X)890 5115 y Fl(m)p Fj(=1)1058 4883 y Fk(Z)1149 4909 y Fl(t)1109 5089 y(t)p Fg(\000)p Fl(\034)1220 5097 y Ff(m)1279 5089 y Fj(\()p Fl(t)p Fj(\))1379 5007 y Fn(")p Fs(\()p Fn(s)p Fs(\))1534 4969 y Fl(T)1589 5007 y Fn(P)13 b(")p Fs(\()p Fn(s)p Fs(\)d)p Fn(s)18 b Fs(+)2054 4893 y Fl(M)2026 4921 y Fk(X)2015 5115 y Fl(m)p Fj(=1)2183 4883 y Fk(Z)2274 4909 y Fl(t)2234 5089 y(t)p Fg(\000)p Fl(\016)2345 5097 y Ff(m)2408 5007 y Fs(\()p Fn(s)g Fm(\000)f Fn(t)h Fs(+)f Fn(\016)2771 5021 y Fl(m)2838 5007 y Fs(\))g(_)-42 b Fn(")q Fs(\()p Fn(s)p Fs(\))3029 4969 y Fl(T)3084 5007 y Fn(Q)16 b Fs(_)-41 b Fn(")q Fs(\()p Fn(s)p Fs(\)d)p Fn(s:)45 b Fs(\(11\))94 5245 y(Let)31 b Fn(\021)302 5259 y Fl(m)369 5245 y Fs(\()p Fn(t)p Fs(\))25 b(:=)h Fn(")p Fs(\()p Fn(t)p Fs(\))21 b Fm(\000)f Fn(")p Fs(\()p Fn(t)g Fm(\000)g Fn(\034)1137 5259 y Fl(m)1204 5245 y Fs(\()p Fn(t)p Fs(\)\).)41 b(W)-8 b(e)32 b(rewrite)e(the)h(system)f(\(7\))i(as) 1115 5489 y(_)-41 b Fn(")p Fs(\()p Fn(t)p Fs(\))26 b(=)f Fm(\000)1491 5375 y Fl(M)1463 5403 y Fk(X)1452 5597 y Fl(m)p Fj(=1)1620 5489 y Fn(L)1682 5503 y Fl(m;t)1793 5489 y Fn(")p Fs(\()p Fn(t)p Fs(\))d(+)2089 5375 y Fl(M)2061 5403 y Fk(X)2050 5597 y Fl(m)p Fj(=1)2218 5489 y Fn(L)2280 5503 y Fl(m;t)2392 5489 y Fn(\021)2437 5503 y Fl(m)2503 5489 y Fs(\()p Fn(t)p Fs(\))p Fn(:)1843 5809 y Fs(7)p eop end %%Page: 8 8 TeXDict begin 8 7 bop 94 219 a Fs(Hence,)31 b(b)m(y)g(using)f(the)g (assumption)g(\(A1\))i(and)d Fn(")p Fs(\()p Fn(t)21 b Fm(\000)f Fn(\034)2044 233 y Fl(m)2110 219 y Fs(\()p Fn(t)p Fs(\)\))27 b(=)d Fn(")p Fs(\()p Fn(t)p Fs(\))e Fm(\000)e Fn(\021)2673 233 y Fl(m)2739 219 y Fs(\()p Fn(t)p Fs(\),)31 b(w)m(e)g(obtain)235 486 y(_)211 509 y Fn(V)20 b Fs(\()p Fn(t)p Fs(\))84 b Fm(\024)f(\000)749 395 y Fl(M)721 423 y Fk(X)711 617 y Fl(m)p Fj(=1)878 509 y Fn(")p Fs(\()p Fn(t)p Fs(\))1023 471 y Fl(T)1079 509 y Fs(\()p Fn(L)1176 523 y Fl(m;t)1308 509 y Fs(+)20 b Fn(L)1461 471 y Fl(T)1461 531 y(m;t)1573 509 y Fs(\))p Fn(")p Fs(\()p Fn(t)p 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y(6)1706 5033 y(6)1706 5088 y(6)1706 5142 y(6)1706 5197 y(6)1706 5251 y(6)1706 5306 y(6)1706 5360 y(6)1706 5419 y(4)1809 4793 y(P)1905 4819 y Fl(M)1905 4888 y(m)p Fj(=1)2076 4861 y Fs(\001)p Fn(L)2214 4875 y Fl(m)2281 4861 y Fs(\()p Fn(t)p Fs(\))2384 4828 y Fl(T)1956 5030 y Fs(\001)p Fn(L)2094 5044 y Fj(1)2133 5030 y Fs(\()p Fn(t)p Fs(\))2236 4997 y Fl(T)2111 5141 y Fs(.)2111 5174 y(.)2111 5207 y(.)1936 5376 y(\001)p Fn(L)2074 5390 y Fl(M)2153 5376 y Fs(\()p Fn(t)p Fs(\))2256 5343 y Fl(T)2101 5546 y Fs(0)2481 4764 y Fk(3)2481 4924 y(7)2481 4979 y(7)2481 5033 y(7)2481 5088 y(7)2481 5142 y(7)2481 5197 y(7)2481 5251 y(7)2481 5306 y(7)2481 5360 y(7)2481 5419 y(5)2557 5192 y Fs([)p Fn(U)40 b Fs(0)46 b Fm(\001)15 b(\001)g(\001)46 b Fs(0)31 b Fn(Q)p Fs(])p Fn(;)1843 5809 y Fs(9)p eop end %%Page: 10 10 TeXDict begin 10 9 bop 94 219 a Fs(b)m(y)30 b(Lemma)h(2)g(w)m(e)f (obtain)h(that)g Fn(W)1333 186 y Fl(T)1388 219 y Fs(\010\()p Fn(t)p Fs(\))p Fn(W)38 b(<)25 b Fs(0)30 b(if)h(and)e(only)i(if)696 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Fm(\003)2146 1644 y Fs(.)2182 1669 y(.)2217 1694 y(.)2376 1702 y(0)2552 1635 y(.)2552 1669 y(.)2552 1702 y(.)1762 1812 y(.)1762 1845 y(.)1762 1879 y(.)g Fm(\003)159 b(\003)146 b Fn(U)118 b Fs(0)1752 2048 y Fm(\003)132 b(\001)15 b(\001)g(\001)100 b(\001)15 b(\001)g(\001)137 b(\003)121 b Fs(0)2629 1232 y Fk(3)2629 1392 y(7)2629 1446 y(7)2629 1501 y(7)2629 1555 y(7)2629 1610 y(7)2629 1664 y(7)2629 1719 y(7)2629 1773 y(7)2629 1828 y(7)2629 1883 y(7)2629 1941 y(5)2715 1687 y Fn(<)25 b Fs(0)p Fn(;)595 b Fs(\(15\))94 2269 y(where)30 b Fn(F)13 b Fs(\()p Fn(t)p Fs(\))26 b(=)f Fn(\013)711 2236 y Fg(\000)p Fj(1)806 2269 y Fs([)831 2201 y Fk(P)927 2227 y Fl(M)927 2296 y(m)p Fj(=1)1099 2269 y Fs(\001)p Fn(L)1237 2283 y Fl(m)1303 2269 y Fs(\()p Fn(t)p Fs(\))31 b(\001)p Fn(L)1575 2283 y Fj(1)1614 2269 y Fs(\()p Fn(t)p Fs(\))46 b Fm(\001)15 b(\001)g(\001)46 b Fs(\001)p Fn(L)2052 2283 y Fl(M)2131 2269 y Fs(\()p Fn(t)p Fs(\))31 b(0])26 b Fm(2)f Fh(R)2513 2236 y Fl(n)p Fg(\002)p Fj(\()p Fl(M)7 b 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Fl(T)2610 2278 y Fn(Q)16 b Fs(_)-41 b Fn(")p Fs(\()p Fn(s)p Fs(\)d)p Fn(s:)94 2558 y Fs(The)30 b(follo)m(wing)i(corollary)f(can)g(b)s(e)f(obtained)h(similarly)-8 b(.)94 2752 y Fi(Corollary)43 b(1.)153 b Fe(Assume)39 b(that)h(\(A2\))g(holds)g(and)g Fn(G)e Fs(=)f(\()p Fn(V)5 b(;)15 b(E)5 b(;)15 b(A)p Fs(\))41 b Fe(is)e(a)g(we)-5 b(akly)41 b(c)-5 b(onne)g(cte)g(d)40 b(and)94 2922 y(b)-5 b(alanc)g(e)g(d)35 b(digr)-5 b(aph.)44 b(If)571 3071 y Fk( )682 3112 y Fl(M)653 3140 y Fk(X)643 3334 y Fl(m)p Fj(=1)811 3226 y Fs(\001)p Fn(L)949 3240 y Fl(m)1015 3226 y Fs(\()p Fn(t)p Fs(\))1118 3071 y Fk(!)15 b( )1316 3112 y Fl(M)1288 3140 y Fk(X)1277 3334 y Fl(m)p Fj(=1)1445 3226 y Fs(\001)p Fn(L)1583 3240 y Fl(m)1649 3226 y Fs(\()p Fn(t)p Fs(\))1752 3071 y Fk(!)1825 3084 y Fl(T)1900 3226 y Fs(+)2030 3112 y Fl(M)2002 3140 y Fk(X)1991 3334 y Fl(m)p Fj(=1)2159 3226 y Fs(\001)p Fn(L)2297 3240 y Fl(m)2363 3226 y Fs(\()p Fn(t)p Fs(\)\001)p Fn(L)2604 3240 y Fl(m)2671 3226 y Fs(\()p Fn(t)p Fs(\))2774 3189 y Fl(T)2854 3226 y Fm(\024)25 b Fn(\013)3008 3189 y Fj(2)3048 3226 y Fn(I)3088 3240 y Fl(n)3135 3226 y Fn(;)94 3511 y Fe(then)44 b(for)g(appr)-5 b(opriate)48 b Fn(\013)e(>)f Fs(0)p Fe(,)h(ther)-5 b(e)45 b(exist)f Fn(\016)1798 3525 y Fj(1)1838 3511 y Fn(;)15 b Fm(\001)g(\001)g(\001)31 b Fn(;)15 b(\016)2094 3525 y Fl(M)2219 3511 y Fn(>)45 b Fs(0)f Fe(such)g(that)h(system)g(\(4\))f (achieves)94 3680 y(aver)-5 b(age)34 b(c)-5 b(onsensus)34 b(asymptotic)-5 b(al)5 b(ly.)46 b(In)33 b(p)-5 b(articular,)35 b(the)f(al)5 b(lowable)34 b Fn(\016)2620 3694 y Fl(m)2720 3680 y Fe(\()p Fn(m)26 b Fs(=)g(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)10 b Fe(\))34 b(c)-5 b(an)33 b(b)-5 b(e)94 3850 y(obtaine)g(d)34 b(fr)-5 b(om)34 b(the)f(fol)5 b(lowing)34 b(fe)-5 b(asible)33 b(LMI)94 3971 y Fk(2)94 4131 y(6)94 4185 y(6)94 4240 y(6)94 4294 y(6)94 4349 y(6)94 4403 y(6)94 4458 y(6)94 4512 y(6)94 4567 y(6)94 4621 y(6)94 4676 y(6)94 4731 y(6)94 4785 y(6)94 4843 y(4)196 4092 y Fn(U)268 4059 y Fl(T)323 4092 y Fs(\()p Fn(\013)416 4059 y Fj(2)456 4092 y Fn(hI)548 4106 y Fl(n)616 4092 y Fm(\000)20 b Fn(M)10 b(L)20 b Fm(\000)g Fn(M)10 b(L)1138 4059 y Fl(T)1193 4092 y Fs(\))p Fn(U)377 b(U)1739 4059 y Fl(T)1794 4092 y Fn(LU)f Fm(\001)15 b(\001)g(\001)383 b Fn(U)2854 4059 y Fl(T)2909 4092 y Fn(LU)476 b Fm(\000)p Fn(M)10 b(U)3750 4059 y Fl(T)3804 4092 y Fn(L)3866 4059 y Fl(T)3921 4092 y Fn(Q)224 b(U)4289 4059 y Fl(T)725 4261 y Fm(\003)613 b Fn(U)1455 4228 y Fl(T)1510 4261 y Fs(\()p Fn(\013)1603 4228 y Fj(2)1644 4261 y Fn(hI)1736 4275 y Fl(n)1803 4261 y Fm(\000)20 b Fn(\016)1937 4223 y Fg(\000)p Fj(1)1934 4287 y(1)2032 4261 y Fn(Q)p Fs(\))p Fn(U)131 b Fs(0)513 b(0)658 b Fn(U)3665 4228 y Fl(T)3720 4261 y Fn(L)3782 4228 y Fl(T)3837 4261 y Fn(Q)348 b Fs(0)734 4372 y Fe(.)734 4405 y(.)734 4438 y(.)1013 b Fm(\003)2303 4380 y Fe(.)2341 4405 y(.)2379 4430 y(.)2890 4438 y Fs(0)3737 4372 y Fe(.)3737 4405 y(.)3737 4438 y(.)4266 4372 y(.)4266 4405 y(.)4266 4438 y(.)725 4607 y Fm(\003)1005 b(\003)512 b(\003)122 b Fn(U)2571 4574 y Fl(T)2626 4607 y Fs(\()p Fn(\013)2719 4574 y Fj(2)2759 4607 y Fn(hI)2851 4621 y Fl(n)2918 4607 y Fm(\000)20 b Fn(\016)3052 4569 y Fg(\000)p Fj(1)3049 4636 y Fl(M)3148 4607 y Fn(Q)p Fs(\))p Fn(U)276 b(U)3665 4574 y Fl(T)3720 4607 y Fn(L)3782 4574 y Fl(T)3837 4607 y Fn(Q)348 b Fs(0)725 4777 y Fm(\003)1005 b(\003)474 b(\001)15 b(\001)g(\001)491 b(\003)475 b(\000)p Fs(\()3516 4708 y Fk(P)3612 4735 y Fl(M)3612 4804 y(m)p Fj(=1)3784 4777 y Fn(\016)3824 4791 y Fl(m)3891 4777 y Fs(\))3926 4744 y Fg(\000)p Fj(1)4020 4777 y Fn(Q)152 b(Q)725 4946 y Fm(\003)1005 b(\003)474 b(\001)15 b(\001)g(\001)491 b(\003)793 b(\003)402 b(\000)p Fn(hI)4338 4960 y Fl(n)4427 3971 y Fk(3)4427 4131 y(7)4427 4185 y(7)4427 4240 y(7)4427 4294 y(7)4427 4349 y(7)4427 4403 y(7)4427 4458 y(7)4427 4512 y(7)4427 4567 y(7)4427 4621 y(7)4427 4676 y(7)4427 4731 y(7)4427 4785 y(7)4427 4843 y(5)4513 4508 y Fn(<)25 b Fs(0)3476 5080 y(\(16\))94 5249 y Fe(wher)-5 b(e)32 b Fn(U)41 b Fe(is)31 b(de\014ne)-5 b(d)32 b(as)f(in)g(L)-5 b(emma)33 b(1,)e Fn(Q)25 b(>)g Fs(0)32 b Fe(is)e(an)i Fn(n)16 b Fm(\002)g Fn(n)31 b Fe(matrix)h(to)g(b)-5 b(e)31 b(determine)-5 b(d,)32 b(and)g Fn(h)26 b(>)f Fs(0)94 5419 y Fe(is)33 b(a)g(c)-5 b(onstant.)1820 5809 y Fs(11)p eop end %%Page: 12 12 TeXDict begin 12 11 bop 94 219 a Fo(4)135 b(Consensus)45 b(with)g(switc)l(hing)h(top)t(ology)94 478 y Fs(Consider)32 b(the)h(switc)m(hing)g(system)g(\(5\).)49 b(W)-8 b(e)34 b(assume)e(that)i(the)f(digraphs)f Fn(G)2809 445 y Fj(\()p Fl(k)r Fj(\))2907 478 y Fs(\()p Fn(t)p Fs(\))h(with)f(Laplacian)94 647 y(matrices)g Fn(L)521 599 y Fj(\()p Fl(k)r Fj(\))521 671 y Fl(m;t)658 647 y Fs(:=)25 b Fn(L)841 614 y Fj(\()p Fl(k)r Fj(\))959 647 y Fs(+)20 b(\001)p Fn(L)1188 599 y Fj(\()p Fl(k)r Fj(\))1188 659 y Fl(m)1286 647 y Fs(\()p Fn(t)p Fs(\))31 b(are)g(balanced)g(for)f Fn(t)c Fm(\025)f Fs(0,)31 b Fn(m)26 b Fs(=)f(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)42 b Fs(and)30 b Fn(k)e Fs(=)e(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b Fs(\004.)94 817 y(Therefore,)41 b(\026)-51 b Fn(x)588 831 y Fj(0)659 817 y Fs(=)31 b(Av)m(e)q(\()p Fn(x)p Fs(\(0\)\))36 b(is)e(also)h(an)f (in)m(v)-5 b(arian)m(t)35 b(quan)m(tit)m(y)-8 b(,)37 b(whic)m(h)d(allo)m(ws)h(the)g(decomp)s(osition)94 986 y(\(6\).)42 b(Th)m(us,)29 b(the)i(error)f(dynamics)g(follo)m(ws)752 1260 y(_)-41 b Fn(")q Fs(\()p Fn(t)p Fs(\))25 b(=)g Fm(\000)1128 1147 y Fl(M)1100 1174 y Fk(X)1089 1368 y Fl(m)p Fj(=1)1257 1260 y Fn(L)1319 1212 y Fj(\()p Fl(k)r Fj(\))1319 1284 y Fl(m;t)1430 1260 y Fn(")p Fs(\()p Fn(t)c Fm(\000)f Fn(\034)1692 1274 y Fl(m)1758 1260 y Fs(\()p Fn(t)p Fs(\)\))p Fn(;)108 b(k)28 b Fs(=)d Fn(\033)s Fs(\()p Fn(t)p Fs(\))h Fm(2)f(f)p Fs(1)p Fn(;)15 b Fs(2)p Fn(;)g Fm(\001)g(\001)g(\001)33 b Fn(;)15 b Fs(\004)p Fm(g)p Fn(:)482 b Fs(\(17\))94 1566 y Fi(Theorem)50 b(2.)172 b Fe(Assume)44 b(that)i(\(A1\))f(holds)i (and)f Fn(G)2093 1533 y Fj(\()p Fl(k)r Fj(\))2235 1566 y Fe(ar)-5 b(e)46 b(we)-5 b(akly)46 b(c)-5 b(onne)g(cte)g(d)46 b(and)g(b)-5 b(alanc)g(e)g(d)94 1735 y(digr)g(aphs.)44 b(If)193 1868 y Fk( )304 1910 y Fl(M)276 1937 y Fk(X)265 2131 y Fl(m)p Fj(=1)433 2023 y Fs(\001)p Fn(L)571 1986 y Fj(\()p Fl(k)r Fj(\))571 2046 y Fl(m)668 2023 y Fs(\()p Fn(t)p Fs(\))771 1868 y Fk(!)16 b( )970 1910 y Fl(M)942 1937 y Fk(X)931 2131 y Fl(m)p Fj(=1)1099 2023 y Fs(\001)p Fn(L)1237 1986 y Fj(\()p Fl(k)r Fj(\))1237 2046 y Fl(m)1334 2023 y Fs(\()p Fn(t)p Fs(\))1437 1868 y Fk(!)1509 1881 y Fl(T)1585 2023 y Fs(+)1714 1910 y Fl(M)1686 1937 y Fk(X)1675 2131 y Fl(m)p Fj(=1)1843 2023 y Fs(\001)p Fn(L)1981 1986 y Fj(\()p Fl(k)r Fj(\))1981 2046 y Fl(m)2078 2023 y Fs(\()p Fn(t)p Fs(\)\001)p Fn(L)2319 1986 y Fj(\()p Fl(k)r Fj(\))2319 2046 y Fl(m)2417 2023 y Fs(\()p Fn(t)p Fs(\))2520 1986 y Fl(T)2601 2023 y Fm(\024)25 b Fn(\013)2755 1986 y Fj(2)2755 2046 y Fl(k)2798 2023 y Fn(I)2838 2037 y Fl(n)2885 2023 y Fn(;)108 b(k)28 b Fs(=)d(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)33 b Fn(;)15 b Fs(\004)p Fn(;)94 2292 y Fe(then)36 b(for)h(any)f Fs(0)c Fm(\024)f Fn(\015)851 2306 y Fl(m)949 2292 y Fn(<)f Fs(1)37 b Fe(\()p Fn(m)31 b Fs(=)g(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)10 b Fe(\))36 b(and)h(appr)-5 b(opriate)40 b(c)-5 b(onstants)38 b Fn(\013)2943 2307 y Fl(k)3016 2292 y Fn(>)31 b Fs(0)p Fe(,)37 b(ther)-5 b(e)37 b(exist)94 2461 y Fn(\016)134 2475 y Fj(1)174 2461 y Fn(;)15 b Fm(\001)g(\001)g (\001)32 b Fn(;)15 b(\016)431 2475 y Fl(M)536 2461 y Fn(>)25 b Fs(0)31 b Fe(such)g(that)h(system)g(\(5\))g(achieves)f(aver) -5 b(age)32 b(c)-5 b(onsensus)32 b(asymptotic)-5 b(al)5 b(ly)34 b(under)e(any)94 2631 y(switching)e(signal.)41 b(In)30 b(p)-5 b(articular,)32 b(the)e(al)5 b(lowable)31 b Fn(\016)1916 2645 y Fl(m)2012 2631 y Fe(\()p Fn(m)26 b Fs(=)f(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)10 b Fe(\))30 b(c)-5 b(an)30 b(b)-5 b(e)29 b(obtaine)-5 b(d)31 b(fr)-5 b(om)31 b(the)94 2800 y(fol)5 b(lowing)34 b(fe)-5 b(asible)33 b(LMIs)140 2905 y Fk(2)140 3065 y(6)140 3119 y(6)140 3174 y(6)140 3228 y(6)140 3283 y(6)140 3337 y(6)140 3392 y(6)140 3446 y(6)140 3501 y(6)140 3555 y(6)140 3610 y(6)140 3665 y(6)140 3719 y(6)140 3777 y(4)242 3026 y Fs(\011)313 2978 y Fj(\()p Fl(k)r Fj(\))313 3052 y(1)p Fl(;)p Fj(1)430 3026 y Fs(+)20 b(\012)587 2993 y Fj(\()p Fl(k)r Fj(\))905 3026 y Fs(\011)976 2978 y Fj(\()p Fl(k)r Fj(\))976 3052 y(1)p Fl(;)p Fj(2)1293 3026 y Fm(\001)15 b(\001)g(\001)301 b Fs(\011)1770 2978 y Fj(\()p Fl(k)r Fj(\))1770 3055 y(1)p Fl(;M)7 b Fj(+1)2473 3026 y Fs(\011)2544 2978 y Fj(\()p Fl(k)r Fj(\))2544 3055 y(1)p Fl(;M)g Fj(+2)3108 3026 y Fn(U)3180 2993 y Fl(T)441 3195 y Fm(\003)282 b Fs(\011)839 3147 y Fj(\()p Fl(k)r Fj(\))839 3221 y(2)p Fl(;)p Fj(2)956 3195 y Fs(+)20 b(\012)1113 3162 y Fj(\()p Fl(k)r Fj(\))1331 3195 y Fs(0)448 b(0)604 b(\011)2544 3147 y Fj(\()p Fl(k)r Fj(\))2544 3224 y(2)p Fl(;M)7 b Fj(+2)3148 3195 y Fs(0)449 3306 y Fe(.)449 3339 y(.)449 3372 y(.)489 b Fm(\003)1302 3314 y Fe(.)1340 3339 y(.)1378 3364 y(.)1824 3372 y Fs(0)2607 3306 y Fe(.)2607 3339 y(.)2607 3372 y(.)3157 3306 y(.)3157 3339 y(.)3157 3372 y(.)441 3541 y Fm(\003)480 b(\003)320 b(\003)121 b Fs(\011)1568 3493 y Fj(\()p Fl(k)r Fj(\))1568 3570 y Fl(M)7 b Fj(+1)p Fl(;M)g Fj(+1)1942 3541 y Fs(+)20 b(\012)2099 3508 y Fj(\()p Fl(k)r Fj(\))2408 3541 y Fs(\011)2479 3493 y Fj(\()p Fl(k)r Fj(\))2479 3570 y Fl(M)7 b Fj(+1)p Fl(;M)g Fj(+2)3148 3541 y Fs(0)441 3711 y Fm(\003)480 b(\003)282 b(\001)15 b(\001)g(\001)426 b(\003)410 b(\000)p Fs(\()2385 3642 y Fk(P)2481 3669 y Fl(M)2481 3738 y(m)p Fj(=1)2653 3711 y Fn(\016)2693 3725 y Fl(m)2760 3711 y Fs(\))2795 3678 y Fg(\000)p Fj(1)2890 3711 y Fn(Q)173 b(Q)441 3880 y Fm(\003)480 b(\003)282 b(\001)15 b(\001)g(\001)426 b(\003)729 b(\003)402 b(\000)p Fn(h)3168 3895 y Fl(k)3210 3880 y Fn(I)3250 3894 y Fl(n)3339 2905 y Fk(3)3339 3065 y(7)3339 3119 y(7)3339 3174 y(7)3339 3228 y(7)3339 3283 y(7)3339 3337 y(7)3339 3392 y(7)3339 3446 y(7)3339 3501 y(7)3339 3555 y(7)3339 3610 y(7)3339 3665 y(7)3339 3719 y(7)3339 3777 y(5)3425 3442 y Fn(<)25 b Fs(0)p Fn(;)3476 4014 y Fs(\(18\))94 4183 y Fe(for)33 b Fn(k)28 b Fs(=)d(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)33 b Fn(;)15 b Fs(\004)p Fe(,)32 b(wher)-5 b(e)33 b Fs(\011)1121 4135 y Fj(\()p Fl(k)r Fj(\))1121 4210 y Fl(i;j)1251 4183 y Fe(and)g Fs(\012)1493 4150 y Fj(\()p Fl(k)r Fj(\))1622 4183 y Fe(ar)-5 b(e)34 b(taken)e(fr)-5 b(om)34 b(The)-5 b(or)g(em)34 b(1)f(by)f(r)-5 b(eplacing)34 b Fn(L)p Fe(,)e Fn(\013)h Fe(and)g Fn(h)94 4353 y Fe(with)d Fn(L)350 4320 y Fj(\()p Fl(k)r Fj(\))448 4353 y Fe(,)f Fn(\013)563 4368 y Fl(k)635 4353 y Fe(and)i Fn(h)861 4368 y Fl(k)904 4353 y Fe(,)f(r)-5 b(esp)g(e)g(ctively,)31 b Fn(P)38 b Fm(\025)25 b Fs(0)30 b Fe(and)g Fn(Q)25 b(>)g Fs(0)30 b Fe(ar)-5 b(e)30 b Fn(n)13 b Fm(\002)g Fn(n)28 b Fe(matric)-5 b(es)31 b(to)f(b)-5 b(e)29 b(determine)-5 b(d.)94 4544 y Fi(Pro)s(of.)58 b Fs(Analogous)37 b(to)g(Theorem)f(1,)i(w)m(e)e(can)g(sho)m(w)g(that)h (\(18\))g(is)f(alw)m(a)m(ys)i(feasible)f(for)e(an)m(y)i Fn(k)h Fs(=)94 4713 y(1)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b Fs(\004.)235 4883 y(Next,)42 b(w)m(e)d(sho)m(w)g(that,)j (for)d(an)m(y)g(0)h Fm(\024)f Fn(\015)1672 4897 y Fl(m)1778 4883 y Fn(<)g Fs(1)g(and)f(appropriate)h Fn(\013)2714 4898 y Fl(k)2796 4883 y Fn(>)g Fs(0,)j(the)d(m)m(ulti-agen)m(t)94 5052 y(system)f(\(5\))h(ac)m(hiev)m(es)h(a)m(v)m(erage)h(consensus)c (asymptotically)k(for)c(an)m(y)i(switc)m(hing)f(signal)h Fn(\033)s Fs(\()p Fn(t)p Fs(\))g(and)94 5222 y(comm)m(unication)34 b(dela)m(y)f Fn(\034)1009 5236 y Fl(m)1104 5222 y Fm(\024)c Fn(\016)1244 5236 y Fl(m)1343 5222 y Fs(for)j Fn(m)d Fs(=)f(1)p Fn(;)15 b Fm(\001)g(\001)g(\001)32 b Fn(;)15 b(M)10 b Fs(,)34 b(where)e Fn(\016)2416 5236 y Fl(m)2483 5222 y Fs('s)g(are)h(determined)f(b)m(y)h(\(18\).)48 b(It)94 5391 y(su\016ces)34 b(to)h(pro)m(v)m(e)h(that)f(the)f(zero)i (solution)f(of)f(switc)m(hing)i(system)e(\(17\))i(is)f(asymptotically)h (stable)94 5560 y(for)44 b(an)m(y)h(switc)m(hing)g(signal)g Fn(\033)s Fs(\()p Fn(t)p Fs(\))h(if)e(\(18\))i(holds.)83 b(Let)45 b Fn(V)20 b Fs(\()p Fn(t)p Fs(\))45 b(de\014ned)e(in)h(\(11\)) i(b)s(e)e(the)h(common)1820 5809 y(12)p eop end %%Page: 13 13 TeXDict begin 13 12 bop 666 1016 a currentpoint currentpoint translate 0.7 0.7 scale neg exch neg exch translate 666 1016 a @beginspecial 85.678497 @llx 398.504639 @lly 497.134552 @urx 550.932678 @ury 4114 @rwi @setspecial %%BeginDocument: fig1.eps %!PS-Adobe-3.0 EPSF-3.0 %%Title: (Slide 1) %%Version: 1 4 %%Creator: Adobe Acrobat 7.0 %%CreationDate: 10:50:08 10/22/12 %%For: (SX) %%DocumentData: Clean7Bit %%LanguageLevel: 2 %ADO_ContainsXMP: MainFirst %%BoundingBox: 28 62 746 601 %%HiResBoundingBox: 28.0 62.0 746.0 601.0 %%Pages: 0 %%DocumentProcessColors: Cyan Magenta Yellow Black %%DocumentNeededResources: (atend) %%DocumentSuppliedResources: %%+ procset (Adobe Acrobat - PDF operators) 1.2 0 %%+ procset (Adobe Acrobat - type operators) 1.2 0 %%EndComments %%BeginProlog %%EndProlog %%BeginSetup %ADOPrintSettings: L2 W0 VM op crd os scsa T h ef bg ucr sf ef r b fa pr seps ttf hb EF t2 irt ´òÓ¡»ú£¯PostScript É«²Ê¹ÜÀí 0 %%BeginResource: procset l2check 6.0 1 %%Copyright: Copyright 1993,2001 Adobe Systems Incorporated. All Rights Reserved. systemdict /languagelevel known { systemdict /languagelevel get 1 eq } { true } ifelse { initgraphics /Helvetica findfont 18 scalefont setfont 72 600 moveto (Error: This application does not support) dup show 72 580 moveto (printing to a PostScript Language Level 1 printer.) dup show exch = = /Times-Roman findfont 16 scalefont setfont 72 500 moveto (As a workaround, try selecting Print As Image from) show 72 480 moveto (the Advanced Print dialog.) show showpage quit } if %%EndResource %%BeginResource: procset Adobe_CoolType_Utility_T42 1.0 0 %%Copyright: Copyright 1987-2004 Adobe Systems Incorporated. %%Version: 1.0 0 userdict /ct_T42Dict 15 dict put ct_T42Dict begin /Is2015? { version cvi 2015 ge } bind def /AllocGlyphStorage { Is2015? { pop } { {string} forall } ifelse } bind def /Type42DictBegin { 25 dict begin /FontName exch def /CharStrings 256 dict begin /.notdef 0 def currentdict end def /Encoding exch def /PaintType 0 def /FontType 42 def /FontMatrix [1 0 0 1 0 0] def 4 array astore cvx /FontBBox exch def /sfnts } bind def /Type42DictEnd { currentdict dup /FontName get exch definefont end ct_T42Dict exch dup /FontName get exch put } bind def /RD {string currentfile exch readstring pop} executeonly def /PrepFor2015 { Is2015? { /GlyphDirectory 16 dict def sfnts 0 get dup 2 index (glyx) putinterval 2 index (locx) putinterval pop pop } { pop pop } ifelse } bind def /AddT42Char { Is2015? { /GlyphDirectory get begin def end pop pop } { /sfnts get 4 index get 3 index 2 index putinterval pop pop pop pop } ifelse } bind def /T0AddT42Mtx2 { /CIDFont findresource /Metrics2 get begin def end }bind def end %%EndResource /currentpacking where{pop currentpacking true setpacking}if %%BeginResource: procset pdfvars 6.0 1 %%Copyright: Copyright 1987-2002 Adobe Systems Incorporated. All Rights Reserved. %%Title: definition of dictionary of variables used by PDF & PDFText procsets userdict /PDF 162 dict put userdict /PDFVars 89 dict dup begin put /docSetupDone false def /InitAll 0 def /TermAll 0 def /DocInitAll 0 def /DocTermAll 0 def /_pdfEncodings 2 array def /_pdf_str1 1 string def /_pdf_i 0 def /_pdf_na 0 def /_pdf_showproc 0 def /_italMtx [1 0 .212557 1 0 0] def /_italMtx_WMode1 [1 -.212557 0 1 0 0] def /_italMtxType0 [1 0 .1062785 1 0 0] def /_italMtx_WMode1Type0 [1 -.1062785 0 1 0 0] def /_basefont 0 def /_basefonto 0 def /_pdf_oldCIDInit null def /_pdf_FontDirectory 30 dict def /_categories 10 dict def /_sa? true def /_ColorSep5044? false def /nulldict 0 dict def /_processColors 0 def /overprintstack null def /_defaulttransfer currenttransfer def /_defaultflatness currentflat def /_defaulthalftone null def /_defaultcolortransfer null def /_defaultblackgeneration null def /_defaultundercolorremoval null def /_defaultcolortransfer null def PDF begin [/c/cs/cm/d/d0/f/h/i/j/J/l/m/M/n/q/Q/re/ri/S/sc/sh/Tf/w/W /applyInterpFunc/applystitchFunc/domainClip/encodeInput /initgs/int/limit/rangeClip /defineRes/undefineRes/findRes/setSA/pl /? /! /| /: /+ /GetGlyphDirectory /pdf_flushFilters /pdf_readstring /pdf_dictOp /pdf_image /pdf_maskedImage /pdf_shfill /pdf_sethalftone ] {null def} bind forall end end %%EndResource PDFVars begin PDF begin %%BeginResource: procset pdfutil 6.0 1 %%Copyright: Copyright 1993-2001 Adobe Systems Incorporated. All Rights Reserved. %%Title: Basic utilities used by other PDF procsets /bd {bind def} bind def /ld {load def} bd /bld { dup length dict begin { null def } forall bind end def } bd /dd { PDFVars 3 1 roll put } bd /xdd { exch dd } bd /Level2? systemdict /languagelevel known { systemdict /languagelevel get 2 ge } { false } ifelse def /Level1? Level2? not def /Level3? systemdict /languagelevel known {systemdict /languagelevel get 3 eq } { false } ifelse def /getifknown { 2 copy known { get true } { pop pop false } ifelse } bd /here { currentdict exch getifknown } bd /isdefined? { where { pop true } { false } ifelse } bd %%EndResource %%BeginResource: procset pdf 6.0 1 %%Copyright: Copyright 1998-2003 Adobe Systems Incorporated. All Rights Reserved. %%Title: General operators for PDF, common to all Language Levels. /cm { matrix astore concat } bd /d /setdash ld /f /fill ld /h /closepath ld /i {dup 0 eq {pop _defaultflatness} if setflat} bd /j /setlinejoin ld /J /setlinecap ld /M /setmiterlimit ld /n /newpath ld /S /stroke ld /w /setlinewidth ld /W /clip ld /sg /setgray ld /initgs { 0 setgray [] 0 d 0 j 0 J 10 M 1 w false setSA /_defaulttransfer load settransfer 0 i /RelativeColorimetric ri newpath } bd /int { dup 2 index sub 3 index 5 index sub div 6 -2 roll sub mul exch pop add exch pop } bd /limit { dup 2 index le { exch } if pop dup 2 index ge { exch } if pop } bd /domainClip { Domain aload pop 3 2 roll limit } [/Domain] bld /applyInterpFunc { 0 1 DimOut 1 sub { dup C0 exch get exch dup C1 exch get exch 3 1 roll 1 index sub 3 index N exp mul add exch currentdict /Range_lo known { dup Range_lo exch get exch Range_hi exch get 3 2 roll limit } { pop } ifelse exch } for pop } [/DimOut /C0 /C1 /N /Range_lo /Range_hi] bld /encodeInput { NumParts 1 sub 0 1 2 index { dup Bounds exch get 2 index gt { exit } { dup 3 index eq { exit } { pop } ifelse } ifelse } for 3 2 roll pop dup Bounds exch get exch dup 1 add Bounds exch get exch 2 mul dup Encode exch get exch 1 add Encode exch get int } [/NumParts /Bounds /Encode] bld /rangeClip { exch dup Range_lo exch get exch Range_hi exch get 3 2 roll limit } [/Range_lo /Range_hi] bld /applyStitchFunc { Functions exch get exec currentdict /Range_lo known { 0 1 DimOut 1 sub { DimOut 1 add -1 roll rangeClip } for } if } [/Functions /Range_lo /DimOut] bld /pdf_flushfilters { aload length { dup status 1 index currentfile ne and { dup flushfile closefile } { pop } ifelse } repeat } bd /pdf_readstring { 1 index dup length 1 sub get exch readstring pop exch pdf_flushfilters } bind def /pdf_dictOp { 3 2 roll 10 dict copy begin _Filters dup length 1 sub get def currentdict exch exec _Filters pdf_flushfilters end } [/_Filters] bld /pdf_imagemask {{imagemask} /DataSource pdf_dictOp} bd /pdf_shfill {{sh} /DataSource pdf_dictOp} bd /pdf_sethalftone {{sethalftone} /Thresholds pdf_dictOp} bd /masks [ 2#10000000 2#11000000 2#11100000 2#11110000 2#11111000 2#11111100 2#11111110 2#11111111 ] def /addNBits { /numBits exch def /byte exch def OutBitOffset numBits add 8 gt { byte OutBitOffset 8 sub bitshift OutBuffer OutByteIndex get or OutBuffer OutByteIndex 3 -1 roll put /OutByteIndex OutByteIndex 1 add def /bitsDoneSoFar OutBitOffset def /OutBitOffset numBits 8 OutBitOffset sub sub def OutBitOffset 0 gt { byte bitsDoneSoFar bitshift masks numBits bitsDoneSoFar sub get and OutBuffer OutByteIndex 3 -1 roll put } if } { byte masks numBits 1 sub get and OutBitOffset neg bitshift OutBuffer OutByteIndex get or OutBuffer OutByteIndex 3 -1 roll put /OutBitOffset OutBitOffset numBits add def OutBitOffset 8 eq { /OutBitOffset 0 def /OutByteIndex OutByteIndex 1 add def } if } ifelse } bind def /DevNNFilter { /InBuffer Width NumComps mul BitsPerComponent mul 7 add 8 idiv string def AllSource InBuffer readstring pop pop /outlen Width NewNumComps mul BitsPerComponent mul 7 add 8 idiv def /OutBuffer outlen string def 0 1 outlen 1 sub { OutBuffer exch 0 put } for /InByteIndex 0 def /InBitOffset 0 def /OutByteIndex 0 def /OutBitOffset 0 def /KeepArray NumComps array def 0 1 NumComps 1 sub { KeepArray exch true put } for DevNNones { KeepArray exch false put } forall Width { KeepArray { { /bitsLeft BitsPerComponent def { bitsLeft 0 le { exit } if /bitsToDo 8 InBitOffset sub dup bitsLeft gt { pop bitsLeft } if def InBuffer InByteIndex get InBitOffset bitshift bitsToDo addNBits /bitsLeft bitsLeft bitsToDo sub def InBitOffset bitsToDo add dup 8 mod /InBitOffset exch def 8 idiv InByteIndex add /InByteIndex exch def } loop } { InBitOffset BitsPerComponent add dup 8 mod /InBitOffset exch def 8 idiv InByteIndex add /InByteIndex exch def } ifelse } forall } repeat OutBuffer } bd /pdf_image { 20 dict copy begin /UnusedNones where { /UnusedNones get}{false} ifelse { /NumComps Decode length 2 div cvi def /OrigDecode Decode def /NumNones DevNNones length def /NewNumComps NumComps NumNones sub def /Decode NewNumComps 2 mul cvi array def /devNNindx 0 def /decIndx 0 def /cmpIndx 0 def NumComps { cmpIndx DevNNones devNNindx get eq { /devNNindx devNNindx 1 add dup NumNones eq {pop 0} if def } { Decode decIndx OrigDecode cmpIndx 2 mul get put Decode decIndx 1 add OrigDecode cmpIndx 2 mul 1 add get put /decIndx decIndx 2 add def } ifelse /cmpIndx cmpIndx 1 add def } repeat _Filters dup length 1 sub get /AllSource exch def /DataSource { DevNNFilter } def } { _Filters dup length 1 sub get /DataSource exch def } ifelse currentdict image _Filters pdf_flushfilters end } bd /pdf_maskedImage { 10 dict copy begin /miDict currentdict def /DataDict DataDict 10 dict copy def DataDict begin /DataSource _Filters dup length 1 sub get def miDict image _Filters pdf_flushfilters end miDict /InterleaveType get 3 eq { MaskDict /DataSource get dup type /filetype eq { closefile } { pop } ifelse } if end } [/miDict /DataDict /_Filters] bld /RadialShade { 40 dict begin /background exch def /ext1 exch def /ext0 exch def /BBox exch def /r2 exch def /c2y exch def /c2x exch def /r1 exch def /c1y exch def /c1x exch def /rampdict exch def gsave BBox length 0 gt { newpath BBox 0 get BBox 1 get moveto BBox 2 get BBox 0 get sub 0 rlineto 0 BBox 3 get BBox 1 get sub rlineto BBox 2 get BBox 0 get sub neg 0 rlineto closepath clip newpath } if c1x c2x eq { c1y c2y lt {/theta 90 def}{/theta 270 def} ifelse } { /slope c2y c1y sub c2x c1x sub div def /theta slope 1 atan def c2x c1x lt c2y c1y ge and { /theta theta 180 sub def} if c2x c1x lt c2y c1y lt and { /theta theta 180 add def} if } ifelse gsave clippath c1x c1y translate theta rotate -90 rotate { pathbbox } stopped { 0 0 0 0 } if /yMax exch def /xMax exch def /yMin exch def /xMin exch def grestore xMax xMin eq yMax yMin eq or { grestore end } { /max { 2 copy gt { pop } {exch pop} ifelse } bind def /min { 2 copy lt { pop } {exch pop} ifelse } bind def rampdict begin 40 dict begin background length 0 gt { background sssetbackground gsave clippath fill grestore } if gsave c1x c1y translate theta rotate -90 rotate /c2y c1x c2x sub dup mul c1y c2y sub dup mul add sqrt def /c1y 0 def /c1x 0 def /c2x 0 def ext0 { 0 getrampcolor c2y r2 add r1 sub 0.0001 lt { c1x c1y r1 360 0 arcn pathbbox /aymax exch def /axmax exch def /aymin exch def /axmin exch def /bxMin xMin axmin min def /byMin yMin aymin min def /bxMax xMax axmax max def /byMax yMax aymax max def bxMin byMin moveto bxMax byMin lineto bxMax byMax lineto bxMin byMax lineto bxMin byMin lineto eofill } { c2y r1 add r2 le { c1x c1y r1 0 360 arc fill } { c2x c2y r2 0 360 arc fill r1 r2 eq { /p1x r1 neg def /p1y c1y def /p2x r1 def /p2y c1y def p1x p1y moveto p2x p2y lineto p2x yMin lineto p1x yMin lineto fill } { /AA r2 r1 sub c2y div def AA -1 eq { /theta 89.99 def} { /theta AA 1 AA dup mul sub sqrt div 1 atan def} ifelse /SS1 90 theta add dup sin exch cos div def /p1x r1 SS1 SS1 mul SS1 SS1 mul 1 add div sqrt mul neg def /p1y p1x SS1 div neg def /SS2 90 theta sub dup sin exch cos div def /p2x r1 SS2 SS2 mul SS2 SS2 mul 1 add div sqrt mul def /p2y p2x SS2 div neg def r1 r2 gt { /L1maxX p1x yMin p1y sub SS1 div add def /L2maxX p2x yMin p2y sub SS2 div add def } { /L1maxX 0 def /L2maxX 0 def }ifelse p1x p1y moveto p2x p2y lineto L2maxX L2maxX p2x sub SS2 mul p2y add lineto L1maxX L1maxX p1x sub SS1 mul p1y add lineto fill } ifelse } ifelse } ifelse } if c1x c2x sub dup mul c1y c2y sub dup mul add 0.5 exp 0 dtransform dup mul exch dup mul add 0.5 exp 72 div 0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt 1 index 1 index lt { exch } if pop /hires exch def hires mul /numpix exch def /numsteps NumSamples def /rampIndxInc 1 def /subsampling false def numpix 0 ne { NumSamples numpix div 0.5 gt { /numsteps numpix 2 div round cvi dup 1 le { pop 2 } if def /rampIndxInc NumSamples 1 sub numsteps div def /subsampling true def } if } if /xInc c2x c1x sub numsteps div def /yInc c2y c1y sub numsteps div def /rInc r2 r1 sub numsteps div def /cx c1x def /cy c1y def /radius r1 def newpath xInc 0 eq yInc 0 eq rInc 0 eq and and { 0 getrampcolor cx cy radius 0 360 arc stroke NumSamples 1 sub getrampcolor cx cy radius 72 hires div add 0 360 arc 0 setlinewidth stroke } { 0 numsteps { dup subsampling { round } if getrampcolor cx cy radius 0 360 arc /cx cx xInc add def /cy cy yInc add def /radius radius rInc add def cx cy radius 360 0 arcn eofill rampIndxInc add } repeat pop } ifelse ext1 { c2y r2 add r1 lt { c2x c2y r2 0 360 arc fill } { c2y r1 add r2 sub 0.0001 le { c2x c2y r2 360 0 arcn pathbbox /aymax exch def /axmax exch def /aymin exch def /axmin exch def /bxMin xMin axmin min def /byMin yMin aymin min def /bxMax xMax axmax max def /byMax yMax aymax max def bxMin byMin moveto bxMax byMin lineto bxMax byMax lineto bxMin byMax lineto bxMin byMin lineto eofill } { c2x c2y r2 0 360 arc fill r1 r2 eq { /p1x r2 neg def /p1y c2y def /p2x r2 def /p2y c2y def p1x p1y moveto p2x p2y lineto p2x yMax lineto p1x yMax lineto fill } { /AA r2 r1 sub c2y div def AA -1 eq { /theta 89.99 def} { /theta AA 1 AA dup mul sub sqrt div 1 atan def} ifelse /SS1 90 theta add dup sin exch cos div def /p1x r2 SS1 SS1 mul SS1 SS1 mul 1 add div sqrt mul neg def /p1y c2y p1x SS1 div sub def /SS2 90 theta sub dup sin exch cos div def /p2x r2 SS2 SS2 mul SS2 SS2 mul 1 add div sqrt mul def /p2y c2y p2x SS2 div sub def r1 r2 lt { /L1maxX p1x yMax p1y sub SS1 div add def /L2maxX p2x yMax p2y sub SS2 div add def } { /L1maxX 0 def /L2maxX 0 def }ifelse p1x p1y moveto p2x p2y lineto L2maxX L2maxX p2x sub SS2 mul p2y add lineto L1maxX L1maxX p1x sub SS1 mul p1y add lineto fill } ifelse } ifelse } ifelse } if grestore grestore end end end } ifelse } bd /GenStrips { 40 dict begin /background exch def /ext1 exch def /ext0 exch def /BBox exch def /y2 exch def /x2 exch def /y1 exch def /x1 exch def /rampdict exch def gsave BBox length 0 gt { newpath BBox 0 get BBox 1 get moveto BBox 2 get BBox 0 get sub 0 rlineto 0 BBox 3 get BBox 1 get sub rlineto BBox 2 get BBox 0 get sub neg 0 rlineto closepath clip newpath } if x1 x2 eq { y1 y2 lt {/theta 90 def}{/theta 270 def} ifelse } { /slope y2 y1 sub x2 x1 sub div def /theta slope 1 atan def x2 x1 lt y2 y1 ge and { /theta theta 180 sub def} if x2 x1 lt y2 y1 lt and { /theta theta 180 add def} if } ifelse gsave clippath x1 y1 translate theta rotate { pathbbox } stopped { 0 0 0 0 } if /yMax exch def /xMax exch def /yMin exch def /xMin exch def grestore xMax xMin eq yMax yMin eq or { grestore end } { rampdict begin 20 dict begin background length 0 gt { background sssetbackground gsave clippath fill grestore } if gsave x1 y1 translate theta rotate /xStart 0 def /xEnd x2 x1 sub dup mul y2 y1 sub dup mul add 0.5 exp def /ySpan yMax yMin sub def /numsteps NumSamples def /rampIndxInc 1 def /subsampling false def xStart 0 transform xEnd 0 transform 3 -1 roll sub dup mul 3 1 roll sub dup mul add 0.5 exp 72 div 0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt 1 index 1 index lt { exch } if pop mul /numpix exch def numpix 0 ne { NumSamples numpix div 0.5 gt { /numsteps numpix 2 div round cvi dup 1 le { pop 2 } if def /rampIndxInc NumSamples 1 sub numsteps div def /subsampling true def } if } if ext0 { 0 getrampcolor xMin xStart lt { xMin yMin xMin neg ySpan rectfill } if } if /xInc xEnd xStart sub numsteps div def /x xStart def 0 numsteps { dup subsampling { round } if getrampcolor x yMin xInc ySpan rectfill /x x xInc add def rampIndxInc add } repeat pop ext1 { xMax xEnd gt { xEnd yMin xMax xEnd sub ySpan rectfill } if } if grestore grestore end end end } ifelse } bd /currentdistillerparams where { pop currentdistillerparams /CoreDistVersion get 5000 lt}{true}ifelse { /PDFMark5 {cleartomark} bd } { /PDFMark5 {pdfmark} bd }ifelse /ReadByPDFMark5 { 2 dict begin /makerString exch def string /tmpString exch def { currentfile tmpString readline pop makerString anchorsearch { pop pop cleartomark exit } { 3 copy /PUT PDFMark5 pop 2 copy (\n) /PUT PDFMark5 } ifelse }loop end }bd %%EndResource %%BeginResource: procset pdflev2 6.0 1 %%Copyright: Copyright 1987-2001,2003 Adobe Systems Incorporated. All Rights Reserved. %%Title: PDF operators, with code specific for Level 2 /docinitialize { PDF begin /_defaulthalftone currenthalftone dd /_defaultblackgeneration currentblackgeneration dd /_defaultundercolorremoval currentundercolorremoval dd /_defaultcolortransfer [currentcolortransfer] dd /_defaulttransfer currenttransfer dd end PDFVars /docSetupDone true put } bd /initialize { PDFVars /docSetupDone get { _defaulthalftone sethalftone /_defaultblackgeneration load setblackgeneration /_defaultundercolorremoval load setundercolorremoval _defaultcolortransfer aload pop setcolortransfer } if false setoverprint } bd /terminate { } bd /c /curveto ld /cs /setcolorspace ld /l /lineto ld /m /moveto ld /q /gsave ld /Q /grestore ld /sc /setcolor ld /setSA/setstrokeadjust ld /re { 4 2 roll m 1 index 0 rlineto 0 exch rlineto neg 0 rlineto h } bd /concattransferfuncs { [ 3 1 roll /exec load exch /exec load ] cvx } bd /concatandsettransfer { /_defaulttransfer load concattransferfuncs settransfer } bd /concatandsetcolortransfer { _defaultcolortransfer aload pop 8 -1 roll 5 -1 roll concattransferfuncs 7 1 roll 6 -1 roll 4 -1 roll concattransferfuncs 5 1 roll 4 -1 roll 3 -1 roll concattransferfuncs 3 1 roll concattransferfuncs setcolortransfer } bd /defineRes/defineresource ld /undefineRes/undefineresource ld /findRes/findresource ld currentglobal true systemdict /setglobal get exec [/Function /ExtGState /Form /Shading /FunctionDictionary /MadePattern /PatternPrototype /DataSource /Image] { /Generic /Category findresource dup length dict copy /Category defineresource pop } forall systemdict /setglobal get exec /ri { /findcolorrendering isdefined? { mark exch findcolorrendering counttomark 2 eq { type /booleantype eq { dup type /nametype eq { dup /ColorRendering resourcestatus { pop pop dup /DefaultColorRendering ne { /ColorRendering findresource setcolorrendering } if } if } if } if } if cleartomark } { pop } ifelse } bd /knownColorants? { pop false } bd /getrampcolor { cvi /indx exch def 0 1 NumComp 1 sub { dup Samples exch get dup type /stringtype eq { indx get } if exch Scaling exch get aload pop 3 1 roll mul add } for setcolor } bd /sssetbackground { aload pop setcolor } bd %%EndResource %%BeginResource: procset pdftext 6.0 1 %%Copyright: Copyright 1987-2001,2003 Adobe Systems Incorporated. All Rights Reserved. %%Title: Text operators for PDF PDF /PDFText 78 dict dup begin put /docinitialize { /resourcestatus where { pop /CIDParams /ProcSet resourcestatus { pop pop false /CIDParams /ProcSet findresource /SetBuildCompatible get exec } if } if PDF begin PDFText /_pdfDefineIdentity-H known { PDFText /_pdfDefineIdentity-H get exec} if end } bd /initialize { PDFText begin } bd /terminate { end } bd Level2? { /_safeput { 3 -1 roll load 3 1 roll put } bd } { /_safeput { 2 index load dup dup length exch maxlength ge { dup length 5 add dict copy 3 index xdd } { pop } ifelse 3 -1 roll load 3 1 roll put } bd } ifelse /pdf_has_composefont? systemdict /composefont known def /CopyFont { { 1 index /FID ne 2 index /UniqueID ne and { def } { pop pop } ifelse } forall } bd /Type0CopyFont { exch dup length dict begin CopyFont [ exch FDepVector { dup /FontType get 0 eq { 1 index Type0CopyFont /_pdfType0 exch definefont } { /_pdfBaseFont exch 2 index exec } ifelse exch } forall pop ] /FDepVector exch def currentdict end } bd Level2? {currentglobal true setglobal} if /cHexEncoding [/c00/c01/c02/c03/c04/c05/c06/c07/c08/c09/c0A/c0B/c0C/c0D/c0E/c0F/c10/c11/c12 /c13/c14/c15/c16/c17/c18/c19/c1A/c1B/c1C/c1D/c1E/c1F/c20/c21/c22/c23/c24/c25 /c26/c27/c28/c29/c2A/c2B/c2C/c2D/c2E/c2F/c30/c31/c32/c33/c34/c35/c36/c37/c38 /c39/c3A/c3B/c3C/c3D/c3E/c3F/c40/c41/c42/c43/c44/c45/c46/c47/c48/c49/c4A/c4B /c4C/c4D/c4E/c4F/c50/c51/c52/c53/c54/c55/c56/c57/c58/c59/c5A/c5B/c5C/c5D/c5E /c5F/c60/c61/c62/c63/c64/c65/c66/c67/c68/c69/c6A/c6B/c6C/c6D/c6E/c6F/c70/c71 /c72/c73/c74/c75/c76/c77/c78/c79/c7A/c7B/c7C/c7D/c7E/c7F/c80/c81/c82/c83/c84 /c85/c86/c87/c88/c89/c8A/c8B/c8C/c8D/c8E/c8F/c90/c91/c92/c93/c94/c95/c96/c97 /c98/c99/c9A/c9B/c9C/c9D/c9E/c9F/cA0/cA1/cA2/cA3/cA4/cA5/cA6/cA7/cA8/cA9/cAA /cAB/cAC/cAD/cAE/cAF/cB0/cB1/cB2/cB3/cB4/cB5/cB6/cB7/cB8/cB9/cBA/cBB/cBC/cBD /cBE/cBF/cC0/cC1/cC2/cC3/cC4/cC5/cC6/cC7/cC8/cC9/cCA/cCB/cCC/cCD/cCE/cCF/cD0 /cD1/cD2/cD3/cD4/cD5/cD6/cD7/cD8/cD9/cDA/cDB/cDC/cDD/cDE/cDF/cE0/cE1/cE2/cE3 /cE4/cE5/cE6/cE7/cE8/cE9/cEA/cEB/cEC/cED/cEE/cEF/cF0/cF1/cF2/cF3/cF4/cF5/cF6 /cF7/cF8/cF9/cFA/cFB/cFC/cFD/cFE/cFF] def Level2? {setglobal} if /modEnc { /_enc xdd /_icode 0 dd counttomark 1 sub -1 0 { index dup type /nametype eq { _enc _icode 3 -1 roll put _icode 1 add } if /_icode xdd } for cleartomark _enc } bd /trEnc { /_enc xdd 255 -1 0 { exch dup -1 eq { pop /.notdef } { Encoding exch get } ifelse _enc 3 1 roll put } for pop _enc } bd /TE { /_i xdd StandardEncoding 256 array copy modEnc _pdfEncodings exch _i exch put } bd Level2? { /pdfPatchCStrings { currentdict /CharStrings known currentdict /FontType known and { FontType 1 eq CharStrings type /dicttype eq and { CharStrings /mu known CharStrings /mu1 known not and CharStrings wcheck and { CharStrings /mu get type /stringtype eq { currentglobal CharStrings /mu1 CharStrings /mu get dup gcheck setglobal dup length string copy put setglobal } if } if } if } if } bd } { /pdfPatchCStrings {} bd } ifelse /TZ { /_usePDFEncoding xdd findfont dup length 6 add dict begin { 1 index /FID ne { def } { pop pop } ifelse } forall pdfPatchCStrings /pdf_origFontName FontName def /FontName exch def currentdict /PaintType known { PaintType 2 eq {/PaintType 0 def} if } if _usePDFEncoding 0 ge { /Encoding _pdfEncodings _usePDFEncoding get def pop } { _usePDFEncoding -1 eq { counttomark 0 eq { pop } { Encoding 256 array copy modEnc /Encoding exch def } ifelse } { 256 array trEnc /Encoding exch def } ifelse } ifelse pdf_EuroProcSet pdf_origFontName known { pdf_origFontName pdf_AddEuroGlyphProc } if Level2? { currentdict /pdf_origFontName undef } if FontName currentdict end definefont pop } bd Level2? { /TZG { currentglobal true setglobal 2 index _pdfFontStatus { 2 index findfont false setglobal 3 index findfont true setglobal ne { 2 index findfont dup rcheck { dup length dict begin { 1 index /FID ne { def } { pop pop } ifelse } forall pdfPatchCStrings currentdict end } if 3 index exch definefont pop } if } if setglobal TZ } bd } { /TZG {TZ} bd } ifelse Level2? { currentglobal false setglobal userdict /pdftext_data 5 dict put pdftext_data begin /saveStacks { pdftext_data begin /vmmode currentglobal def false setglobal count array astore /os exch def end countdictstack array dictstack pdftext_data exch /ds exch put cleardictstack pdftext_data /dscount countdictstack put pdftext_data /vmmode get setglobal } bind def /restoreStacks { pdftext_data /vmmode currentglobal put false setglobal clear cleardictstack pdftext_data /ds get dup pdftext_data /dscount get 1 2 index length 1 sub { get begin dup } for pop pop pdftext_data /os get aload pop pdftext_data /vmmode get setglobal } bind def /testForClonePrinterBug { currentglobal true setglobal /undefinedCategory /Generic /Category findresource dup length dict copy /Category defineresource pop setglobal pdftext_data /saveStacks get exec pdftext_data /vmmode currentglobal put false setglobal /undefined /undefinedCategory { resourcestatus } stopped pdftext_data exch /bugFound exch put pdftext_data /vmmode get setglobal pdftext_data /restoreStacks get exec pdftext_data /bugFound get } bind def end setglobal /pdf_resourcestatus pdftext_data /testForClonePrinterBug get exec { { pdftext_data /saveStacks get exec pdftext_data /os get dup dup length 1 sub dup 1 sub dup 0 lt { pop 0 } if exch 1 exch { get exch dup } for pop pop { resourcestatus } stopped { clear cleardictstack pdftext_data /restoreStacks get exec { pop pop } stopped pop false } { count array astore pdftext_data exch /results exch put pdftext_data /restoreStacks get exec pop pop pdftext_data /results get aload pop } ifelse } } { { resourcestatus } } ifelse bd } if Level2? { /_pdfUndefineResource { currentglobal 3 1 roll _pdf_FontDirectory 2 index 2 copy known {undef} {pop pop} ifelse 1 index (pdf) exch _pdfConcatNames 1 index 1 index 1 _pdfConcatNames 1 index 5 index 1 _pdfConcatNames 1 index 4 { 2 copy pdf_resourcestatus { pop 2 lt {2 copy findresource gcheck setglobal undefineresource} {pop pop} ifelse } { pop pop} ifelse } repeat setglobal } bd } { /_pdfUndefineResource { pop pop} bd } ifelse Level2? { /_pdfFontStatus { currentglobal exch /Font pdf_resourcestatus {pop pop true} {false} ifelse exch setglobal } bd } { /_pdfFontStatusString 50 string def _pdfFontStatusString 0 (fonts/) putinterval /_pdfFontStatus { FontDirectory 1 index known { pop true } { _pdfFontStatusString 6 42 getinterval cvs length 6 add _pdfFontStatusString exch 0 exch getinterval { status } stopped {pop false} { { pop pop pop pop true} { false } ifelse } ifelse } ifelse } bd } ifelse Level2? { /_pdfCIDFontStatus { /CIDFont /Category pdf_resourcestatus { pop pop /CIDFont pdf_resourcestatus {pop pop true} {false} ifelse } { pop false } ifelse } bd } if /_pdfString100 100 string def /_pdfComposeFontName { dup length 1 eq { 0 get 1 index type /nametype eq { _pdfString100 cvs length dup dup _pdfString100 exch (-) putinterval _pdfString100 exch 1 add dup _pdfString100 length exch sub getinterval 2 index exch cvs length add 1 add _pdfString100 exch 0 exch getinterval exch pop true } { pop pop false } ifelse } { false } ifelse dup {exch cvn exch} if } bd /_pdfConcatNames { exch _pdfString100 cvs length dup dup _pdfString100 exch (-) putinterval _pdfString100 exch 1 add dup _pdfString100 length exch sub getinterval 3 -1 roll exch cvs length add 1 add _pdfString100 exch 0 exch getinterval cvn } bind def /_pdfTextTempString 50 string def /_pdfRegOrderingArray [(Adobe-Japan1) (Adobe-CNS1) (Adobe-Korea1) (Adobe-GB1)] def /_pdf_CheckCIDSystemInfo { 1 index _pdfTextTempString cvs (Identity) anchorsearch { pop pop pop pop true } { false _pdfRegOrderingArray { 2 index exch anchorsearch { pop pop pop true exit} { pop } ifelse } forall exch pop exch /CIDFont findresource /CIDSystemInfo get 3 -1 roll /CMap findresource /CIDSystemInfo get exch 3 -1 roll { 2 copy /Supplement get exch dup type /dicttype eq {/Supplement get} {pop 0 } ifelse ge } { true } ifelse { dup /Registry get 2 index /Registry get eq { /Ordering get exch /Ordering get dup type /arraytype eq { 1 index type /arraytype eq { true 1 index length 1 sub -1 0 { dup 2 index exch get exch 3 index exch get ne { pop false exit} if } for exch pop exch pop } { pop pop false } ifelse } { eq } ifelse } { pop pop false } ifelse } { pop pop false } ifelse } ifelse } bind def pdf_has_composefont? { /_pdfComposeFont { 2 copy _pdfComposeFontName not { 2 index } if (pdf) exch _pdfConcatNames dup _pdfFontStatus { dup findfont 5 2 roll pop pop pop true} { 4 1 roll 1 index /CMap pdf_resourcestatus { pop pop true } {false} ifelse 1 index true exch { _pdfCIDFontStatus not {pop false exit} if } forall and { 1 index 1 index 0 get _pdf_CheckCIDSystemInfo { 3 -1 roll pop 2 index 3 1 roll composefont true } { pop pop exch pop false } ifelse } { _pdfComposeFontName { dup _pdfFontStatus { exch pop 1 index exch findfont definefont true } { pop exch pop false } ifelse } { exch pop false } ifelse } ifelse { true } { dup _pdfFontStatus { dup findfont true } { pop false } ifelse } ifelse } ifelse } bd } { /_pdfComposeFont { _pdfComposeFontName not { dup } if dup _pdfFontStatus {exch pop dup findfont true} { 1 index dup type /nametype eq {pop} {cvn} ifelse eq {pop false} { dup _pdfFontStatus {dup findfont true} {pop false} ifelse } ifelse } ifelse } bd } ifelse /_pdfStyleDicts 4 dict dup begin /Adobe-Japan1 4 dict dup begin Level2? { /Serif /HeiseiMin-W3-83pv-RKSJ-H _pdfFontStatus {/HeiseiMin-W3} { /HeiseiMin-W3 _pdfCIDFontStatus {/HeiseiMin-W3} {/Ryumin-Light} ifelse } ifelse def /SansSerif /HeiseiKakuGo-W5-83pv-RKSJ-H _pdfFontStatus {/HeiseiKakuGo-W5} { /HeiseiKakuGo-W5 _pdfCIDFontStatus {/HeiseiKakuGo-W5} {/GothicBBB-Medium} ifelse } ifelse def /HeiseiMaruGo-W4-83pv-RKSJ-H _pdfFontStatus {/HeiseiMaruGo-W4} { /HeiseiMaruGo-W4 _pdfCIDFontStatus {/HeiseiMaruGo-W4} { /Jun101-Light-RKSJ-H _pdfFontStatus { /Jun101-Light } { SansSerif } ifelse } ifelse } ifelse /RoundSansSerif exch def /Default Serif def } { /Serif /Ryumin-Light def /SansSerif /GothicBBB-Medium def { (fonts/Jun101-Light-83pv-RKSJ-H) status }stopped {pop}{ { pop pop pop pop /Jun101-Light } { SansSerif } ifelse /RoundSansSerif exch def }ifelse /Default Serif def } ifelse end def /Adobe-Korea1 4 dict dup begin /Serif /HYSMyeongJo-Medium def /SansSerif /HYGoThic-Medium def /RoundSansSerif SansSerif def /Default Serif def end def /Adobe-GB1 4 dict dup begin /Serif /STSong-Light def /SansSerif /STHeiti-Regular def /RoundSansSerif SansSerif def /Default Serif def end def /Adobe-CNS1 4 dict dup begin /Serif /MKai-Medium def /SansSerif /MHei-Medium def /RoundSansSerif SansSerif def /Default Serif def end def end def /TZzero { /_wmode xdd /_styleArr xdd /_regOrdering xdd 3 copy _pdfComposeFont { 5 2 roll pop pop pop } { [ 0 1 _styleArr length 1 sub { _styleArr exch get _pdfStyleDicts _regOrdering 2 copy known { get exch 2 copy known not { pop /Default } if get } { pop pop pop /Unknown } ifelse } for ] exch pop 2 index 3 1 roll _pdfComposeFont {3 -1 roll pop} { findfont dup /FontName get exch } ifelse } ifelse dup /WMode 2 copy known { get _wmode ne } { pop pop _wmode 1 eq} ifelse { exch _wmode _pdfConcatNames dup _pdfFontStatus { exch pop dup findfont false} { exch true } ifelse } { dup /FontType get 0 ne } ifelse { dup /FontType get 3 eq _wmode 1 eq and { _pdfVerticalRomanT3Font dup length 10 add dict copy begin /_basefont exch dup length 3 add dict begin {1 index /FID ne {def}{pop pop} ifelse } forall /Encoding Encoding dup length array copy dup 16#27 /quotesingle put dup 16#60 /grave put _regOrdering /Adobe-Japan1 eq {dup 16#5c /yen put dup 16#a5 /yen put dup 16#b4 /yen put} if def FontName currentdict end definefont def /Encoding _basefont /Encoding get def /_fauxfont true def } { dup length 3 add dict begin {1 index /FID ne {def}{pop pop} ifelse } forall FontType 0 ne { /Encoding Encoding dup length array copy dup 16#27 /quotesingle put dup 16#60 /grave put _regOrdering /Adobe-Japan1 eq {dup 16#5c /yen put} if def /_fauxfont true def } if } ifelse /WMode _wmode def dup dup /FontName exch def currentdict end definefont pop } { pop } ifelse /_pdf_FontDirectory 3 1 roll _safeput } bd Level2? { /Tf { _pdf_FontDirectory 2 index 2 copy known {get exch 3 -1 roll pop} {pop pop} ifelse selectfont } bd } { /Tf { _pdf_FontDirectory 2 index 2 copy known {get exch 3 -1 roll pop} {pop pop} ifelse exch findfont exch dup type /arraytype eq {makefont} {scalefont} ifelse setfont } bd } ifelse /cshow where { pop /pdf_cshow /cshow load dd /pdf_remove2 {pop pop} dd } { /pdf_cshow {exch forall} dd /pdf_remove2 {} dd } ifelse /pdf_xshow { /_pdf_na xdd /_pdf_i 0 dd currentpoint /_pdf_y xdd /_pdf_x xdd { pdf_remove2 _pdf_str1 exch 0 exch put _pdf_str1 /_pdf_showproc load exec {_pdf_na _pdf_i get} stopped { pop pop } { _pdf_x _pdf_y moveto 0 rmoveto } ifelse _pdf_i 1 add /_pdf_i xdd currentpoint /_pdf_y xdd /_pdf_x xdd } exch pdf_cshow } bd /pdf_yshow { /_pdf_na xdd /_pdf_i 0 dd currentpoint /_pdf_y xdd /_pdf_x xdd { pdf_remove2 _pdf_str1 exch 0 exch put _pdf_str1 /_pdf_showproc load exec {_pdf_na _pdf_i get} stopped { pop pop } { _pdf_x _pdf_y moveto 0 exch rmoveto } ifelse _pdf_i 1 add /_pdf_i xdd currentpoint /_pdf_y xdd /_pdf_x xdd } exch pdf_cshow } bd /pdf_xyshow { /_pdf_na xdd /_pdf_i 0 dd currentpoint /_pdf_y xdd /_pdf_x xdd { pdf_remove2 _pdf_str1 exch 0 exch put _pdf_str1 /_pdf_showproc load exec {_pdf_na _pdf_i get} stopped { pop pop } { 1 pop {_pdf_na _pdf_i 1 add get} stopped { pop pop pop} { _pdf_x _pdf_y moveto rmoveto } ifelse } ifelse _pdf_i 2 add /_pdf_i xdd currentpoint /_pdf_y xdd /_pdf_x xdd } exch pdf_cshow } bd /pdfl1xs {/_pdf_showproc /show load dd pdf_xshow} bd /pdfl1ys {/_pdf_showproc /show load dd pdf_yshow} bd /pdfl1xys {/_pdf_showproc /show load dd pdf_xyshow} bd Level2? _ColorSep5044? not and { /pdfxs {{xshow} stopped {pdfl1xs} if} bd /pdfys {{yshow} stopped {pdfl1ys} if} bd /pdfxys {{xyshow} stopped {pdfl1xys} if} bd } { /pdfxs /pdfl1xs load dd /pdfys /pdfl1ys load dd /pdfxys /pdfl1xys load dd } ifelse /pdf_charpath {false charpath} bd /pdf_xcharpath {/_pdf_showproc /pdf_charpath load dd pdf_xshow} bd /pdf_ycharpath {/_pdf_showproc /pdf_charpath load dd pdf_yshow} bd /pdf_xycharpath {/_pdf_showproc /pdf_charpath load dd pdf_xyshow} bd /pdf_strokepath { { pdf_remove2 _pdf_str1 exch 0 exch put _pdf_str1 false charpath currentpoint S moveto } bind exch pdf_cshow } bd /pdf_xstrokepath {/_pdf_showproc {pdf_charpath S} dd pdf_xshow} bd /pdf_ystrokepath {/_pdf_showproc {pdf_charpath S} dd pdf_yshow} bd /pdf_xystrokepath {/_pdf_showproc {pdf_charpath S} dd pdf_xyshow} bd Level2? {currentglobal true setglobal} if /d0/setcharwidth ld /nND {{/.notdef} repeat} bd /T3Defs { /BuildChar { 1 index /Encoding get exch get 1 index /BuildGlyph get exec } def /BuildGlyph { exch begin GlyphProcs exch get exec end } def /_pdfT3Font true def } bd /_pdfBoldRomanWidthProc { stringwidth 1 index 0 ne { exch .03 add exch }if setcharwidth 0 0 } bd /_pdfType0WidthProc { dup stringwidth 0 0 moveto 2 index true charpath pathbbox 0 -1 7 index 2 div .88 setcachedevice2 pop 0 0 } bd /_pdfType0WMode1WidthProc { dup stringwidth pop 2 div neg -0.88 2 copy moveto 0 -1 5 -1 roll true charpath pathbbox setcachedevice } bd /_pdfBoldBaseFont 11 dict begin /FontType 3 def /FontMatrix[1 0 0 1 0 0]def /FontBBox[0 0 1 1]def /Encoding cHexEncoding def /_setwidthProc /_pdfBoldRomanWidthProc load def /_bcstr1 1 string def /BuildChar { exch begin _basefont setfont _bcstr1 dup 0 4 -1 roll put dup _setwidthProc 3 copy moveto show _basefonto setfont moveto show end }bd currentdict end def pdf_has_composefont? { /_pdfBoldBaseCIDFont 11 dict begin /CIDFontType 1 def /CIDFontName /_pdfBoldBaseCIDFont def /FontMatrix[1 0 0 1 0 0]def /FontBBox[0 0 1 1]def /_setwidthProc /_pdfType0WidthProc load def /_bcstr2 2 string def /BuildGlyph { exch begin _basefont setfont _bcstr2 1 2 index 256 mod put _bcstr2 0 3 -1 roll 256 idiv put _bcstr2 dup _setwidthProc 3 copy moveto show _basefonto setfont moveto show end }bd currentdict end def /_pdfDefineIdentity-H { /Identity-H /CMap PDFText /pdf_resourcestatus get exec { pop pop } { /CIDInit/ProcSet findresource begin 12 dict begin begincmap /CIDSystemInfo 3 dict begin /Registry (Adobe) def /Ordering (Identity) def /Supplement 0 def currentdict end def /CMapName /Identity-H def /CMapVersion 1 def /CMapType 1 def 1 begincodespacerange <0000> endcodespacerange 1 begincidrange <0000> 0 endcidrange endcmap CMapName currentdict/CMap defineresource pop end end } ifelse } def } if /_pdfVerticalRomanT3Font 10 dict begin /FontType 3 def /FontMatrix[1 0 0 1 0 0]def /FontBBox[0 0 1 1]def /_bcstr1 1 string def /BuildChar { exch begin _basefont setfont _bcstr1 dup 0 4 -1 roll put dup _pdfType0WidthProc moveto show end }bd currentdict end def Level2? {setglobal} if /MakeBoldFont { dup /ct_SyntheticBold known { dup length 3 add dict begin CopyFont /ct_StrokeWidth .03 0 FontMatrix idtransform pop def /ct_SyntheticBold true def currentdict end definefont } { dup dup length 3 add dict begin CopyFont /PaintType 2 def /StrokeWidth .03 0 FontMatrix idtransform pop def /dummybold currentdict end definefont dup /FontType get dup 9 ge exch 11 le and { _pdfBoldBaseCIDFont dup length 3 add dict copy begin dup /CIDSystemInfo get /CIDSystemInfo exch def /_Type0Identity /Identity-H 3 -1 roll [ exch ] composefont /_basefont exch def /_Type0Identity /Identity-H 3 -1 roll [ exch ] composefont /_basefonto exch def currentdict end /CIDFont defineresource } { _pdfBoldBaseFont dup length 3 add dict copy begin /_basefont exch def /_basefonto exch def currentdict end definefont } ifelse } ifelse } bd /MakeBold { 1 index _pdf_FontDirectory 2 index 2 copy known {get} {exch pop} ifelse findfont dup /FontType get 0 eq { dup /WMode known {dup /WMode get 1 eq }{false} ifelse version length 4 ge and {version 0 4 getinterval cvi 2015 ge } {true} ifelse {/_pdfType0WidthProc} {/_pdfType0WMode1WidthProc} ifelse _pdfBoldBaseFont /_setwidthProc 3 -1 roll load put {MakeBoldFont} Type0CopyFont definefont } { dup /_fauxfont known not 1 index /SubstMaster known not and { _pdfBoldBaseFont /_setwidthProc /_pdfBoldRomanWidthProc load put MakeBoldFont } { 2 index 2 index eq { exch pop } { dup length dict begin CopyFont currentdict end definefont } ifelse } ifelse } ifelse pop pop dup /dummybold ne {/_pdf_FontDirectory exch dup _safeput } { pop } ifelse }bd /MakeItalic { _pdf_FontDirectory exch 2 copy known {get} {exch pop} ifelse dup findfont dup /FontInfo 2 copy known { get /ItalicAngle 2 copy known {get 0 eq } { pop pop true} ifelse } { pop pop true} ifelse { exch pop dup /FontType get 0 eq Level2? not and { dup /FMapType get 6 eq } { false } ifelse { dup /WMode 2 copy known { get 1 eq { _italMtx_WMode1Type0 } { _italMtxType0 } ifelse } { pop pop _italMtxType0 } ifelse } { dup /WMode 2 copy known { get 1 eq { _italMtx_WMode1 } { _italMtx } ifelse } { pop pop _italMtx } ifelse } ifelse makefont dup /FontType get 42 eq Level2? not or { dup length dict begin CopyFont currentdict end } if 1 index exch definefont pop /_pdf_FontDirectory exch dup _safeput } { pop 2 copy ne { /_pdf_FontDirectory 3 1 roll _safeput } { pop pop } ifelse } ifelse }bd /MakeBoldItalic { /dummybold exch MakeBold /dummybold MakeItalic }bd Level2? { /pdf_CopyDict {1 index length add dict copy} def } { /pdf_CopyDict { 1 index length add dict 1 index wcheck { copy } { begin {def} forall currentdict end } ifelse } def } ifelse /pdf_AddEuroGlyphProc { currentdict /CharStrings known { CharStrings /Euro known not { dup /CharStrings CharStrings 1 pdf_CopyDict begin /Euro pdf_EuroProcSet 4 -1 roll get def currentdict end def /pdf_PSBuildGlyph /pdf_PSBuildGlyph load def /pdf_PathOps /pdf_PathOps load def /Symbol eq Encoding 160 get /.notdef eq and { /Encoding Encoding dup length array copy dup 160 /Euro put def } if } { pop } ifelse } { pop } ifelse } def Level2? {currentglobal true setglobal} if /pdf_PathOps 4 dict dup begin /m {moveto} def /l {lineto} def /c {curveto} def /cp {closepath} def end def /pdf_PSBuildGlyph { gsave 8 -1 roll pop 7 1 roll currentdict /PaintType 2 copy known {get 2 eq}{pop pop false} ifelse dup 9 1 roll { currentdict /StrokeWidth 2 copy known { get 2 div 5 1 roll 4 -1 roll 4 index sub 4 1 roll 3 -1 roll 4 index sub 3 1 roll exch 4 index add exch 4 index add 5 -1 roll pop } { pop pop } ifelse } if setcachedevice pdf_PathOps begin exec end { currentdict /StrokeWidth 2 copy known { get } { pop pop 0 } ifelse setlinewidth stroke } { fill } ifelse grestore } def /pdf_EuroProcSet 13 dict def pdf_EuroProcSet begin /Courier-Bold { 600 0 6 -12 585 612 { 385 274 m 180 274 l 179 283 179 293 179 303 c 179 310 179 316 180 323 c 398 323 l 423 404 l 197 404 l 219 477 273 520 357 520 c 409 520 466 490 487 454 c 487 389 l 579 389 l 579 612 l 487 612 l 487 560 l 449 595 394 612 349 612 c 222 612 130 529 98 404 c 31 404 l 6 323 l 86 323 l 86 304 l 86 294 86 284 87 274 c 31 274 l 6 193 l 99 193 l 129 77 211 -12 359 -12 c 398 -12 509 8 585 77 c 529 145 l 497 123 436 80 356 80 c 285 80 227 122 198 193 c 360 193 l cp 600 0 m } pdf_PSBuildGlyph } def /Courier-BoldOblique /Courier-Bold load def /Courier { 600 0 17 -12 578 584 { 17 204 m 97 204 l 126 81 214 -12 361 -12 c 440 -12 517 17 578 62 c 554 109 l 501 70 434 43 366 43 c 266 43 184 101 154 204 c 380 204 l 400 259 l 144 259 l 144 270 143 281 143 292 c 143 299 143 307 144 314 c 418 314 l 438 369 l 153 369 l 177 464 249 529 345 529 c 415 529 484 503 522 463 c 522 391 l 576 391 l 576 584 l 522 584 l 522 531 l 473 566 420 584 348 584 c 216 584 122 490 95 369 c 37 369 l 17 314 l 87 314 l 87 297 l 87 284 88 272 89 259 c 37 259 l cp 600 0 m } pdf_PSBuildGlyph } def /Courier-Oblique /Courier load def /Helvetica { 556 0 24 -19 541 703 { 541 628 m 510 669 442 703 354 703 c 201 703 117 607 101 444 c 50 444 l 25 372 l 97 372 l 97 301 l 49 301 l 24 229 l 103 229 l 124 67 209 -19 350 -19 c 435 -19 501 25 509 32 c 509 131 l 492 105 417 60 343 60 c 267 60 204 127 197 229 c 406 229 l 430 301 l 191 301 l 191 372 l 455 372 l 479 444 l 194 444 l 201 531 245 624 348 624 c 433 624 484 583 509 534 c cp 556 0 m } pdf_PSBuildGlyph } def /Helvetica-Oblique /Helvetica load def /Helvetica-Bold { 556 0 12 -19 563 710 { 563 621 m 537 659 463 710 363 710 c 216 710 125 620 101 462 c 51 462 l 12 367 l 92 367 l 92 346 l 92 337 93 328 93 319 c 52 319 l 12 224 l 102 224 l 131 58 228 -19 363 -19 c 417 -19 471 -12 517 18 c 517 146 l 481 115 426 93 363 93 c 283 93 254 166 246 224 c 398 224 l 438 319 l 236 319 l 236 367 l 457 367 l 497 462 l 244 462 l 259 552 298 598 363 598 c 425 598 464 570 486 547 c 507 526 513 517 517 509 c cp 556 0 m } pdf_PSBuildGlyph } def /Helvetica-BoldOblique /Helvetica-Bold load def /Symbol { 750 0 20 -12 714 685 { 714 581 m 650 645 560 685 465 685 c 304 685 165 580 128 432 c 50 432 l 20 369 l 116 369 l 115 356 115 347 115 337 c 115 328 115 319 116 306 c 50 306 l 20 243 l 128 243 l 165 97 300 -12 465 -12 c 560 -12 635 25 685 65 c 685 155 l 633 91 551 51 465 51 c 340 51 238 131 199 243 c 555 243 l 585 306 l 184 306 l 183 317 182 326 182 336 c 182 346 183 356 184 369 c 614 369 l 644 432 l 199 432 l 233 540 340 622 465 622 c 555 622 636 580 685 520 c cp 750 0 m } pdf_PSBuildGlyph } def /Times-Bold { 500 0 16 -14 478 700 { 367 308 m 224 308 l 224 368 l 375 368 l 380 414 l 225 414 l 230 589 257 653 315 653 c 402 653 431 521 444 457 c 473 457 l 473 698 l 444 697 l 441 679 437 662 418 662 c 393 662 365 700 310 700 c 211 700 97 597 73 414 c 21 414 l 16 368 l 69 368 l 69 359 68 350 68 341 c 68 330 68 319 69 308 c 21 308 l 16 262 l 73 262 l 91 119 161 -14 301 -14 c 380 -14 443 50 478 116 c 448 136 l 415 84 382 40 323 40 c 262 40 231 77 225 262 c 362 262 l cp 500 0 m } pdf_PSBuildGlyph } def /Times-BoldItalic { 500 0 9 -20 542 686 { 542 686 m 518 686 l 513 673 507 660 495 660 c 475 660 457 683 384 683 c 285 683 170 584 122 430 c 58 430 l 34 369 l 105 369 l 101 354 92 328 90 312 c 34 312 l 9 251 l 86 251 l 85 238 84 223 84 207 c 84 112 117 -14 272 -14 c 326 -14 349 9 381 9 c 393 9 393 -10 394 -20 c 420 -20 l 461 148 l 429 148 l 416 109 362 15 292 15 c 227 15 197 55 197 128 c 197 162 204 203 216 251 c 378 251 l 402 312 l 227 312 l 229 325 236 356 241 369 c 425 369 l 450 430 l 255 430 l 257 435 264 458 274 488 c 298 561 337 654 394 654 c 437 654 484 621 484 530 c 484 516 l 516 516 l cp 500 0 m } pdf_PSBuildGlyph } def /Times-Italic { 500 0 23 -10 595 692 { 399 317 m 196 317 l 199 340 203 363 209 386 c 429 386 l 444 424 l 219 424 l 246 514 307 648 418 648 c 448 648 471 638 492 616 c 529 576 524 529 527 479 c 549 475 l 595 687 l 570 687 l 562 674 558 664 542 664 c 518 664 474 692 423 692 c 275 692 162 551 116 424 c 67 424 l 53 386 l 104 386 l 98 363 93 340 90 317 c 37 317 l 23 279 l 86 279 l 85 266 85 253 85 240 c 85 118 137 -10 277 -10 c 370 -10 436 58 488 128 c 466 149 l 424 101 375 48 307 48 c 212 48 190 160 190 234 c 190 249 191 264 192 279 c 384 279 l cp 500 0 m } pdf_PSBuildGlyph } def /Times-Roman { 500 0 10 -12 484 692 { 347 298 m 171 298 l 170 310 170 322 170 335 c 170 362 l 362 362 l 374 403 l 172 403 l 184 580 244 642 308 642 c 380 642 434 574 457 457 c 481 462 l 474 691 l 449 691 l 433 670 429 657 410 657 c 394 657 360 692 299 692 c 204 692 94 604 73 403 c 22 403 l 10 362 l 70 362 l 69 352 69 341 69 330 c 69 319 69 308 70 298 c 22 298 l 10 257 l 73 257 l 97 57 216 -12 295 -12 c 364 -12 427 25 484 123 c 458 142 l 425 101 384 37 316 37 c 256 37 189 84 173 257 c 335 257 l cp 500 0 m } pdf_PSBuildGlyph } def end Level2? {setglobal} if currentdict readonly pop end %%EndResource PDFText begin [39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis /Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute /egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde /oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex 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/dagger/daggerdbl/circumflex/perthousand/Scaron/guilsinglleft/OE /bullet/Zcaron/bullet/bullet/quoteleft/quoteright/quotedblleft /quotedblright/bullet/endash/emdash/tilde/trademark/scaron /guilsinglright/oe/bullet/zcaron/Ydieresis/space/exclamdown/cent/sterling /currency/yen/brokenbar/section/dieresis/copyright/ordfeminine /guillemotleft/logicalnot/hyphen/registered/macron/degree/plusminus /twosuperior/threesuperior/acute/mu/paragraph/periodcentered/cedilla /onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequarters /questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla /Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis /Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply/Oslash /Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls/agrave /aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute /ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde /ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute /ucircumflex/udieresis/yacute/thorn/ydieresis 1 TE end %%BeginResource: procset pdfasc.prc 6.0 1 %%Copyright: Copyright 1992-2003 Adobe Systems Incorporated. All Rights Reserved. /ASR { 13 dict begin /mirV? exch def /mirH? exch def /center? exch def /autorotate? exch def /angle exch def /shrink exch def /Pury exch def /Purx exch def /Plly exch def /Pllx exch def /Dury exch def /Durx exch def /Dlly exch def /Dllx exch def Dury 0 eq Durx 0 eq and Dlly 0 eq Dllx 0 eq and and { shrink 0 gt { GClipBBox } { GPageBBox } ifelse } { ITransDBBox } ifelse /PHt Pury Plly sub def /PW Purx Pllx sub def /DHt Dury Dlly sub def /DW Durx Dllx sub def angle 90 eq angle 270 eq or { PHt /PHt PW def /PW exch def } if autorotate? PHt PW ne and DHt DW ne and { DHt DW ge PHt PW ge ne { /angle angle 90 add def PHt /PHt PW def /PW exch def } if } if angle 0 ne { /angle angle 360 mod def angle rotate angle 90 eq { 0 DW neg translate } if angle 180 eq { DW neg DHt neg translate } if angle 270 eq { DHt neg 0 translate } if } if center? { ITransBBox Durx Dllx add 2 div Dury Dlly add 2 div Purx Pllx add -2 div Pury Plly add -2 div 3 -1 roll add exch 3 -1 roll add exch translate } { ITransBBox angle 0 eq {Dllx Pllx sub Dury Pury sub} if angle 90 eq {Durx Purx sub Dury Pury sub} if angle 180 eq {Durx Purx sub Dlly Plly sub} if angle 270 eq {Dllx Pllx sub Dlly Plly sub} if translate } ifelse mirH? mirV? or { ITransBBox mirH? { -1 1 scale Durx Dllx add neg 0 translate } if mirV? { 1 -1 scale 0 Dury Dlly add neg translate } if } if shrink 0 ne { ITransBBox Dury Dlly sub Pury Plly sub div Durx Dllx sub Purx Pllx sub div 2 copy gt { exch } if pop shrink 1 eq { Durx Dllx add 2 div Dury Dlly add 2 div translate dup scale Purx Pllx add -2 div Pury Plly add -2 div translate } { shrink 2 eq 1 index 1.0 lt and { Durx Dllx add 2 div Dury Dlly add 2 div translate dup scale Purx Pllx add -2 div Pury Plly add -2 div translate } { pop } ifelse } ifelse } if end } [/autorotate? /shrink? /mirH? /mirV? /angle /Pury /Purx /Plly /Pllx /Durx /Dury /Dllx /Dlly /PW /PHt /DW /DHt /Devurx /Devury /Devllx /Devlly /pdfHt /pdfW] bld /GClipBBox { gsave newpath clippath pathbbox newpath grestore /Dury exch def /Durx exch def /Dlly exch def /Dllx exch def ITransDBBox } [/Durx /Dury /Dllx /Dlly] bld /GPageBBox { { currentpagedevice /PageSize get aload pop /Devury exch def /Devurx exch def /Devllx 0 def /Devlly 0 def ITransBBox } stopped { GClipBBox } if } [/Devurx /Devury /Devllx /Devlly ] bld /ITransDBBox { Durx Dury transform matrix defaultmatrix itransform /Devury exch def /Devurx exch def Dllx Dlly transform matrix defaultmatrix itransform /Devlly exch def /Devllx exch def Devury Devlly lt {/Devlly Devury /Devury Devlly def def} 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uuid:f6e8f7c4-d31c-4042-978c-e368dc8388c9 Slide 1 SX application/eps Sony Electronics, Inc. % &end XMP packet& % [{Metadata_In_EPS} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT PDFMark5 [/Document 1 dict begin /Metadata {Metadata_In_EPS} def currentdict end /BDC PDFMark5 [/NamespacePop PDFMark5 PDFVars/TermAll get exec end end %%EndSetup PDF /docinitialize get exec PDFVars begin PDF begin PDFVars/InitAll get exec 28.0 62.0 718.0 539.0 rectclip [ 0 -1 1 0 -34 629 ] concat /N24 [/CIEBasedABC 20 dict dup /CreationDate (19980209064900) put dup /RenderingIntent (RelativeColorimetric) put dup /Description (sRGB IEC61966-2.1) put dup /ColorSpace (RGB ) put dup /Copyright (Copyright (c) 1998 Hewlett-Packard Company) put dup /ProfileID <1D3FDA2EDB4A89AB60A23C5F7C7D81DD> put dup /DecodeABC [ {{0 0.00031 0.00061 0.0009 0.0012 0.00151 0.00181 0.00212 0.00242 0.00271 0.00302 0.00334 0.00366 0.00401 0.00437 0.00476 0.00515 0.00558 0.00602 0.00648 0.00696 0.00745 0.00798 0.00852 0.00908 0.00966 0.01027 0.01089 0.01153 0.0122 0.0129 0.01362 0.01435 0.01511 0.01589 0.0167 0.01752 0.01837 0.01925 0.02015 0.02107 0.02203 0.02299 0.02399 0.02501 0.02606 0.02713 0.02822 0.02934 0.03049 0.03166 0.03287 0.03409 0.03533 0.03662 0.03792 0.03925 0.04061 0.04199 0.04341 0.04484 0.04631 0.04781 0.04933 0.05088 0.05245 0.05406 0.05569 0.05736 0.05904 0.06077 0.06252 0.0643 0.06611 0.06794 0.06981 0.0717 0.07363 0.07558 0.07756 0.07959 0.08162 0.0837 0.08581 0.08795 0.09011 0.09231 0.09454 0.0968 0.09909 0.10142 0.10376 0.10616 0.10857 0.11102 0.11351 0.11602 0.11856 0.12114 0.12376 0.12639 0.12907 0.13178 0.13452 0.13729 0.14009 0.14294 0.14581 0.14873 0.15166 0.15463 0.15765 0.16068 0.16376 0.16687 0.17001 0.17319 0.17641 0.17965 0.18293 0.18625 0.1896 0.19299 0.19641 0.19987 0.20335 0.20688 0.21045 0.21405 0.21767 0.22134 0.22505 0.22879 0.23257 0.23638 0.24023 0.24411 0.24804 0.25199 0.25599 0.26002 0.26409 0.2682 0.27234 0.27651 0.28073 0.28499 0.28928 0.29361 0.29798 0.30238 0.30683 0.3113 0.31582 0.32038 0.32497 0.3296 0.33428 0.33898 0.34372 0.34851 0.35333 0.3582 0.3631 0.36804 0.37302 0.37804 0.3831 0.38819 0.39333 0.3985 0.40372 0.40898 0.41427 0.41961 0.42498 0.43039 0.43585 0.44134 0.44688 0.45245 0.45806 0.46372 0.46942 0.47516 0.48094 0.48675 0.49261 0.49851 0.50445 0.51043 0.51646 0.52253 0.52863 0.53477 0.54097 0.54719 0.55347 0.55979 0.56613 0.57253 0.57897 0.58545 0.59198 0.59855 0.60515 0.6118 0.61849 0.62524 0.63201 0.63884 0.6457 0.6526 0.65955 0.66654 0.67357 0.68066 0.68778 0.69495 0.70215 0.7094 0.71669 0.72404 0.73142 0.73885 0.74632 0.75383 0.76138 0.76899 0.77663 0.78433 0.79206 0.79983 0.80765 0.81552 0.82343 0.83139 0.8394 0.84744 0.85554 0.86367 0.87185 0.88007 0.88835 0.89666 0.90503 0.91343 0.92189 0.93038 0.93892 0.94751 0.95614 0.96482 0.97355 0.98232 0.99114 1} dup 3 -1 roll 0 1 3 copy 3 -1 roll exch ge {pop pop pop pop pop 256 get} {pop 3 copy pop le {pop pop pop pop 0 get} {exch dup 4 -1 roll exch sub 3 1 roll sub div 256 mul dup floor dup 3 1 roll sub exch cvi dup 1 add 4 -1 roll exch get 4 -1 roll 3 -1 roll get dup 4 1 roll sub mul add} ifelse} ifelse } bind dup dup ] put dup /MatrixABC [ 0.2180189128 0.1112492942 0.0069565698 0.1925612492 0.358452993 0.0485281768 0.0715286348 0.0303053423 0.3569742448 ] put dup /MatrixLMN [1.9999694824 0 0 0 1.9999694824 0 0 0 1.9999694824] put dup /BlackPoint [0 0 0] put dup /WhitePoint [0.9642028809 1 0.8249053955] put] /ColorSpace defineRes pop q 28.0 62.0 m 567.0 62.0 l 567.0 780.0 l 28.0 780.0 l h W n n 87.48 145.011 m 87.48 138.411 92.88 133.011 99.48 133.011 c 106.08 133.011 111.48 138.411 111.48 145.011 c 111.48 151.611 106.08 157.011 99.48 157.011 c 92.88 157.011 87.48 151.611 87.48 145.011 c [/CIEBasedABC 20 dict dup /CreationDate (19980209064900) put dup /RenderingIntent (RelativeColorimetric) put dup /Description (sRGB IEC61966-2.1) put dup /ColorSpace (RGB ) put dup /Copyright (Copyright (c) 1998 Hewlett-Packard Company) put dup 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0.17965 0.18293 0.18625 0.1896 0.19299 0.19641 0.19987 0.20335 0.20688 0.21045 0.21405 0.21767 0.22134 0.22505 0.22879 0.23257 0.23638 0.24023 0.24411 0.24804 0.25199 0.25599 0.26002 0.26409 0.2682 0.27234 0.27651 0.28073 0.28499 0.28928 0.29361 0.29798 0.30238 0.30683 0.3113 0.31582 0.32038 0.32497 0.3296 0.33428 0.33898 0.34372 0.34851 0.35333 0.3582 0.3631 0.36804 0.37302 0.37804 0.3831 0.38819 0.39333 0.3985 0.40372 0.40898 0.41427 0.41961 0.42498 0.43039 0.43585 0.44134 0.44688 0.45245 0.45806 0.46372 0.46942 0.47516 0.48094 0.48675 0.49261 0.49851 0.50445 0.51043 0.51646 0.52253 0.52863 0.53477 0.54097 0.54719 0.55347 0.55979 0.56613 0.57253 0.57897 0.58545 0.59198 0.59855 0.60515 0.6118 0.61849 0.62524 0.63201 0.63884 0.6457 0.6526 0.65955 0.66654 0.67357 0.68066 0.68778 0.69495 0.70215 0.7094 0.71669 0.72404 0.73142 0.73885 0.74632 0.75383 0.76138 0.76899 0.77663 0.78433 0.79206 0.79983 0.80765 0.81552 0.82343 0.83139 0.8394 0.84744 0.85554 0.86367 0.87185 0.88007 0.88835 0.89666 0.90503 0.91343 0.92189 0.93038 0.93892 0.94751 0.95614 0.96482 0.97355 0.98232 0.99114 1} dup 3 -1 roll 0 1 3 copy 3 -1 roll exch ge {pop pop pop pop pop 256 get} {pop 3 copy pop le {pop pop pop pop 0 get} {exch dup 4 -1 roll exch sub 3 1 roll sub div 256 mul dup floor dup 3 1 roll sub exch cvi dup 1 add 4 -1 roll exch get 4 -1 roll 3 -1 roll get dup 4 1 roll sub mul add} ifelse} ifelse } bind dup dup ] put dup /MatrixABC [ 0.2180189128 0.1112492942 0.0069565698 0.1925612492 0.358452993 0.0485281768 0.0715286348 0.0303053423 0.3569742448 ] put dup /MatrixLMN [1.9999694824 0 0 0 1.9999694824 0 0 0 1.9999694824] put dup /BlackPoint [0 0 0] put dup /WhitePoint [0.9642028809 1 0.8249053955] put] /E1 exch /ColorSpace defineRes cs 1.0 1.0 1.0 sc eofill 0.75 w 1 j 1 J n 87.48 145.011 m 87.48 138.411 92.88 133.011 99.48 133.011 c 106.08 133.011 111.48 138.411 111.48 145.011 c 111.48 151.611 106.08 157.011 99.48 157.011 c 92.88 157.011 87.48 151.611 87.48 145.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 105.48 141.111 m /N23 [0.0 16.02 -16.02 0.0 0.0 0.0] Tf (1) show n 87.48 217.011 m 87.48 210.411 92.88 205.011 99.48 205.011 c 106.08 205.011 111.48 210.411 111.48 217.011 c 111.48 223.611 106.08 229.011 99.48 229.011 c 92.88 229.011 87.48 223.611 87.48 217.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 87.48 217.011 m 87.48 210.411 92.88 205.011 99.48 205.011 c 106.08 205.011 111.48 210.411 111.48 217.011 c 111.48 223.611 106.08 229.011 99.48 229.011 c 92.88 229.011 87.48 223.611 87.48 217.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 105.48 213.111 m (2) show n 87.48 289.011 m 87.48 282.411 92.88 277.011 99.48 277.011 c 106.08 277.011 111.48 282.411 111.48 289.011 c 111.48 295.611 106.08 301.011 99.48 301.011 c 92.88 301.011 87.48 295.611 87.48 289.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 87.48 289.011 m 87.48 282.411 92.88 277.011 99.48 277.011 c 106.08 277.011 111.48 282.411 111.48 289.011 c 111.48 295.611 106.08 301.011 99.48 301.011 c 92.88 301.011 87.48 295.611 87.48 289.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 105.48 285.111 m (3) show n 159.48 145.011 m 159.48 138.411 164.88 133.011 171.48 133.011 c 178.08 133.011 183.48 138.411 183.48 145.011 c 183.48 151.611 178.08 157.011 171.48 157.011 c 164.88 157.011 159.48 151.611 159.48 145.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 159.48 145.011 m 159.48 138.411 164.88 133.011 171.48 133.011 c 178.08 133.011 183.48 138.411 183.48 145.011 c 183.48 151.611 178.08 157.011 171.48 157.011 c 164.88 157.011 159.48 151.611 159.48 145.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 177.48 141.111 m (6) show n 159.48 217.011 m 159.48 210.411 164.88 205.011 171.48 205.011 c 178.08 205.011 183.48 210.411 183.48 217.011 c 183.48 223.611 178.08 229.011 171.48 229.011 c 164.88 229.011 159.48 223.611 159.48 217.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 159.48 217.011 m 159.48 210.411 164.88 205.011 171.48 205.011 c 178.08 205.011 183.48 210.411 183.48 217.011 c 183.48 223.611 178.08 229.011 171.48 229.011 c 164.88 229.011 159.48 223.611 159.48 217.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 177.48 213.111 m (5) show n 159.48 289.011 m 159.48 282.411 164.88 277.011 171.48 277.011 c 178.08 277.011 183.48 282.411 183.48 289.011 c 183.48 295.611 178.08 301.011 171.48 301.011 c 164.88 301.011 159.48 295.611 159.48 289.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 159.48 289.011 m 159.48 282.411 164.88 277.011 171.48 277.011 c 178.08 277.011 183.48 282.411 183.48 289.011 c 183.48 295.611 178.08 301.011 171.48 301.011 c 164.88 301.011 159.48 295.611 159.48 289.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 177.48 285.111 m (4) show n 87.48 361.011 m 87.48 354.411 92.88 349.011 99.48 349.011 c 106.08 349.011 111.48 354.411 111.48 361.011 c 111.48 367.611 106.08 373.011 99.48 373.011 c 92.88 373.011 87.48 367.611 87.48 361.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 87.48 361.011 m 87.48 354.411 92.88 349.011 99.48 349.011 c 106.08 349.011 111.48 354.411 111.48 361.011 c 111.48 367.611 106.08 373.011 99.48 373.011 c 92.88 373.011 87.48 367.611 87.48 361.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 105.48 357.111 m (1) show n 87.48 433.011 m 87.48 426.411 92.88 421.011 99.48 421.011 c 106.08 421.011 111.48 426.411 111.48 433.011 c 111.48 439.611 106.08 445.011 99.48 445.011 c 92.88 445.011 87.48 439.611 87.48 433.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 87.48 433.011 m 87.48 426.411 92.88 421.011 99.48 421.011 c 106.08 421.011 111.48 426.411 111.48 433.011 c 111.48 439.611 106.08 445.011 99.48 445.011 c 92.88 445.011 87.48 439.611 87.48 433.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 105.48 429.111 m (2) show n 87.48 505.01 m 87.48 498.41 92.88 493.01 99.48 493.01 c 106.08 493.01 111.48 498.41 111.48 505.01 c 111.48 511.611 106.08 517.01 99.48 517.01 c 92.88 517.01 87.48 511.611 87.48 505.01 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 87.48 505.01 m 87.48 498.41 92.88 493.01 99.48 493.01 c 106.08 493.01 111.48 498.41 111.48 505.01 c 111.48 511.611 106.08 517.01 99.48 517.01 c 92.88 517.01 87.48 511.611 87.48 505.01 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 105.48 501.111 m (3) show n 159.48 361.011 m 159.48 354.411 164.88 349.011 171.48 349.011 c 178.08 349.011 183.48 354.411 183.48 361.011 c 183.48 367.611 178.08 373.011 171.48 373.011 c 164.88 373.011 159.48 367.611 159.48 361.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 159.48 361.011 m 159.48 354.411 164.88 349.011 171.48 349.011 c 178.08 349.011 183.48 354.411 183.48 361.011 c 183.48 367.611 178.08 373.011 171.48 373.011 c 164.88 373.011 159.48 367.611 159.48 361.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 177.48 357.111 m (6) show n 159.48 433.011 m 159.48 426.411 164.88 421.011 171.48 421.011 c 178.08 421.011 183.48 426.411 183.48 433.011 c 183.48 439.611 178.08 445.011 171.48 445.011 c 164.88 445.011 159.48 439.611 159.48 433.011 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 159.48 433.011 m 159.48 426.411 164.88 421.011 171.48 421.011 c 178.08 421.011 183.48 426.411 183.48 433.011 c 183.48 439.611 178.08 445.011 171.48 445.011 c 164.88 445.011 159.48 439.611 159.48 433.011 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 177.48 429.111 m (5) show n 159.48 505.01 m 159.48 498.41 164.88 493.01 171.48 493.01 c 178.08 493.01 183.48 498.41 183.48 505.01 c 183.48 511.611 178.08 517.01 171.48 517.01 c 164.88 517.01 159.48 511.611 159.48 505.01 c /E1 /ColorSpace findRes cs 1.0 1.0 1.0 sc eofill n 159.48 505.01 m 159.48 498.41 164.88 493.01 171.48 493.01 c 178.08 493.01 183.48 498.41 183.48 505.01 c 183.48 511.611 178.08 517.01 171.48 517.01 c 164.88 517.01 159.48 511.611 159.48 505.01 c h 0.0 0.0 0.0 sc S [/DeviceGray] cs 0.0 sc 177.48 501.111 m (4) show n 99.12 157.011 m 99.12 200.031 l 99.24 200.271 l 99.48 200.391 l 99.72 200.271 l 99.84 200.031 l 99.84 157.011 l 99.72 156.771 l 99.48 156.651 l 99.24 156.771 l 99.12 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4616 mt 6261 4616 L 6261 4616 mt 6261 389 L 899 4616 mt 899 389 L gs 899 389 5363 4228 rc /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 346 1 345 -1 230 -1 268 1 255 0 210 -1 198 1 175 4 158 0 147 -5 137 -5 130 -1 225 15 204 3 186 -25 166 -14 152 28 141 43 131 11 124 -45 119 -75 109 -43 101 25 97 90 93 115 86 80 83 5 76 -82 73 -153 68 -173 63 -139 57 -61 61 27 27 39 27 54 26 67 27 81 27 98 27 117 27 130 13 64 13 58 14 48 13 28 27 -25 27 -172 27 -296 14 -175 10 -136 2 -27 899 2925 51 MP stroke /c9 { 0.000000 0.500000 0.000000 sr} bdef c9 346 1 345 -1 230 0 268 0 255 -1 210 0 198 3 175 2 158 -4 147 -5 137 0 130 6 225 10 204 -16 186 -18 166 19 152 38 141 9 131 -41 124 -62 119 -27 109 40 101 90 97 90 93 38 86 -44 83 -122 76 -152 73 -127 68 -54 63 34 57 98 61 163 27 84 27 88 26 87 27 81 27 69 27 52 27 39 13 20 13 26 14 38 13 56 27 194 27 341 27 465 14 264 10 203 2 40 899 389 51 MP stroke /c10 { 1.000000 0.000000 0.000000 sr} bdef c10 346 1 345 -1 230 0 268 0 255 -1 210 1 198 3 175 -2 158 -4 147 -1 137 5 130 6 225 -4 204 -19 186 7 166 32 152 12 141 -34 131 -52 124 -17 119 47 109 83 101 64 97 2 93 -79 86 -126 83 -124 76 -62 73 25 68 103 63 152 57 156 61 165 27 64 27 57 26 49 27 43 27 38 27 30 27 8 13 -13 13 -32 14 -60 13 -96 27 -337 27 -578 27 -778 14 -440 10 -338 2 -68 899 4616 51 MP stroke /c11 { 0.000000 0.750000 0.750000 sr} bdef c11 346 1 345 -1 230 0 268 -1 255 0 210 3 198 0 175 -4 158 -1 147 4 137 5 130 0 225 -15 204 -3 186 26 166 14 152 -26 141 -43 131 -11 124 44 119 74 109 42 101 -25 97 -90 93 -116 86 -78 83 -1 76 83 73 142 68 157 63 139 57 88 61 31 27 -16 27 -40 26 -71 27 -110 27 -155 27 -201 27 -234 13 -118 13 -109 14 -92 13 -63 27 7 27 241 27 439 14 264 10 203 2 41 899 2079 51 MP stroke /c12 { 0.750000 0.000000 0.750000 sr} bdef c12 346 1 345 -1 230 0 268 -1 255 1 210 1 198 -2 175 -1 158 3 147 4 137 0 130 -7 225 -10 204 16 186 18 166 -17 152 -37 141 -9 131 41 124 60 119 27 109 -41 101 -90 97 -90 93 -37 86 46 83 119 76 144 73 127 68 70 63 -9 57 -92 61 -201 27 -118 27 -129 26 -128 27 -113 27 -78 27 -29 27 25 13 29 13 32 14 30 13 18 27 -32 27 -173 27 -296 14 -176 10 -135 2 -27 899 3770 51 MP stroke /c13 { 0.750000 0.750000 0.000000 sr} bdef c13 346 1 345 -1 230 -1 268 1 255 1 210 -1 198 -1 175 2 158 3 147 0 137 -5 130 -7 225 5 204 19 186 -8 166 -31 152 -10 141 34 131 52 124 16 119 -48 109 -83 101 -65 97 0 93 78 86 123 83 123 76 68 73 -14 68 -104 63 -174 57 -190 61 -184 27 -52 27 -29 26 -3 27 18 27 29 27 31 27 32 13 18 13 26 14 37 13 55 27 195 27 341 27 465 14 264 10 203 2 40 899 1234 51 MP stroke gr c13 0 sg %%IncludeResource: font Helvetica /Helvetica /WindowsLatin1Encoding 144 FMSR 3420 4922 mt (Time) s 611 2671 mt -90 rotate (State) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1428 2536 a Fc(\(a\))j Fb(\034)1590 2544 y Fa(1)1625 2536 y Fc(\()p Fb(t)p Fc(\))20 b(=)i(0)p Fb(:)p Fc(1)p Fb(;)14 b(\034)1981 2544 y Fa(2)2015 2536 y Fc(\()p Fb(t)p Fc(\))21 b(=)g(0)p Fb(:)p Fc(2)818 4291 y @beginspecial 55 @llx 197 @lly 549 @urx 589 @ury 2551 @rwi @setspecial %%BeginDocument: fig3.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: C:\MATLAB6p5\work\fig3.eps %%CreationDate: 10/22/2012 15:47:35 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 55 197 549 589 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /ISOLatin1Encoding where {pop /WindowsLatin1Encoding 256 array bdef ISOLatin1Encoding WindowsLatin1Encoding copy pop /.notdef/.notdef/quotesinglbase/florin/quotedblbase/ellipsis/dagger /daggerdbl/circumflex/perthousand/Scaron/guilsinglleft/OE/.notdef/.notdef /.notdef/.notdef/quoteleft/quoteright/quotedblleft/quotedblright/bullet /endash/emdash/tilde/trademark/scaron/guilsinglright/oe/.notdef/.notdef /Ydieresis WindowsLatin1Encoding 128 32 getinterval astore pop} {/WindowsLatin1Encoding StandardEncoding bdef} ifelse /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 55 197 549 589 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 452 274 5925 4705 MR c np 85 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6919 5187 PR 6 w 0 4227 5362 0 0 -4227 899 4616 4 MP PP -5362 0 0 4227 5362 0 0 -4227 899 4616 5 MP stroke 4 w DO SO 6 w 0 sg 899 389 mt 6261 389 L 899 4616 mt 6261 4616 L 6261 4616 mt 6261 389 L 899 4616 mt 899 389 L 899 4616 mt 6261 4616 L 899 4616 mt 899 389 L 899 4616 mt 899 4562 L 899 389 mt 899 442 L %%IncludeResource: font Helvetica /Helvetica /WindowsLatin1Encoding 120 FMSR 866 4761 mt (0) s 1435 4616 mt 1435 4562 L 1435 389 mt 1435 442 L 1402 4761 mt (2) s 1971 4616 mt 1971 4562 L 1971 389 mt 1971 442 L 1938 4761 mt (4) s 2507 4616 mt 2507 4562 L 2507 389 mt 2507 442 L 2474 4761 mt (6) s 3043 4616 mt 3043 4562 L 3043 389 mt 3043 442 L 3010 4761 mt (8) s 3580 4616 mt 3580 4562 L 3580 389 mt 3580 442 L 3514 4761 mt (10) s 4116 4616 mt 4116 4562 L 4116 389 mt 4116 442 L 4050 4761 mt (12) s 4652 4616 mt 4652 4562 L 4652 389 mt 4652 442 L 4586 4761 mt (14) s 5188 4616 mt 5188 4562 L 5188 389 mt 5188 442 L 5122 4761 mt (16) s 5724 4616 mt 5724 4562 L 5724 389 mt 5724 442 L 5658 4761 mt (18) s 6261 4616 mt 6261 4562 L 6261 389 mt 6261 442 L 6195 4761 mt (20) s 899 4616 mt 952 4616 L 6261 4616 mt 6207 4616 L 798 4660 mt (1) s 899 4193 mt 952 4193 L 6261 4193 mt 6207 4193 L 698 4237 mt (1.5) s 899 3770 mt 952 3770 L 6261 3770 mt 6207 3770 L 798 3814 mt (2) s 899 3347 mt 952 3347 L 6261 3347 mt 6207 3347 L 698 3391 mt (2.5) s 899 2925 mt 952 2925 L 6261 2925 mt 6207 2925 L 798 2969 mt (3) s 899 2502 mt 952 2502 L 6261 2502 mt 6207 2502 L 698 2546 mt (3.5) s 899 2079 mt 952 2079 L 6261 2079 mt 6207 2079 L 798 2123 mt (4) s 899 1657 mt 952 1657 L 6261 1657 mt 6207 1657 L 698 1701 mt (4.5) s 899 1234 mt 952 1234 L 6261 1234 mt 6207 1234 L 798 1278 mt (5) s 899 811 mt 952 811 L 6261 811 mt 6207 811 L 698 855 mt (5.5) s 899 389 mt 952 389 L 6261 389 mt 6207 389 L 798 433 mt (6) s 899 389 mt 6261 389 L 899 4616 mt 6261 4616 L 6261 4616 mt 6261 389 L 899 4616 mt 899 389 L gs 899 389 5363 4228 MR c np /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 55 467 52 466 54 417 53 293 53 131 54 -52 53 -224 54 -366 54 -451 53 -459 55 -408 53 -275 54 -109 55 76 53 244 54 374 55 441 53 429 56 368 54 233 54 71 55 -101 54 -250 55 -370 55 -431 54 -412 56 -350 54 -202 54 -36 57 148 53 293 56 402 54 429 54 382 57 291 54 130 55 -30 56 -185 54 -295 55 -376 55 -387 55 -342 57 -264 54 -113 55 46 57 213 54 331 56 415 55 404 55 318 58 187 55 6 55 -153 57 -286 55 -335 57 -353 56 -309 55 -224 59 -128 55 2 56 134 59 280 55 360 57 407 58 366 55 220 57 36 57 -165 55 -302 59 -394 55 -345 55 -267 56 -164 52 -51 53 36 52 102 50 146 52 192 48 222 47 256 51 307 45 265 43 174 46 39 46 -163 39 -287 38 -355 45 -416 42 -275 34 -116 33 -22 34 30 34 33 34 -5 30 -42 27 -52 27 -34 28 24 35 164 1174 3023 100 MP stroke 27 227 23 265 6 65 5 66 5 66 19 225 19 199 21 165 6 27 5 20 38 -46 26 -236 6 -66 57 -716 10 -136 2 -27 899 2925 17 MP stroke /c9 { 0.000000 0.500000 0.000000 sr} bdef c9 55 354 52 193 54 15 53 -166 53 -322 54 -438 53 -464 54 -436 54 -333 53 -176 55 5 53 185 54 329 55 432 53 443 54 402 55 295 53 140 56 -29 54 -196 54 -329 55 -425 54 -429 55 -388 55 -273 54 -108 56 73 54 237 54 363 57 440 53 407 56 339 54 204 54 45 57 -120 54 -250 55 -349 56 -402 54 -371 55 -311 55 -183 55 -26 57 150 54 287 55 389 57 425 54 359 56 251 55 87 55 -76 58 -230 55 -312 55 -351 57 -349 55 -275 57 -189 56 -67 55 70 59 223 55 331 56 397 59 412 55 287 57 129 58 -71 55 -234 57 -352 57 -372 55 -311 59 -234 55 -108 55 -12 56 72 52 135 53 201 52 258 50 299 52 327 48 267 47 150 51 -24 45 -207 43 -310 46 -387 46 -338 39 -198 38 -105 45 -49 42 -18 34 -15 33 -6 34 28 34 93 34 180 30 213 27 221 27 207 28 152 35 62 1174 2040 100 MP stroke 27 -60 23 -114 6 -31 5 -31 5 -32 19 -106 19 -79 21 -28 6 8 5 13 38 286 26 406 6 100 57 1076 10 203 2 40 899 389 17 MP stroke /c10 { 1.000000 0.000000 0.000000 sr} bdef c10 55 -108 52 -274 54 -407 53 -464 53 -456 54 -384 53 -235 54 -62 54 122 53 282 55 405 53 447 54 428 55 351 53 205 54 39 55 -134 53 -283 56 -401 54 -441 54 -415 55 -333 54 -178 55 -3 55 176 54 316 56 423 54 426 54 377 57 274 53 114 56 -47 54 -198 54 -311 57 -400 54 -393 55 -348 56 -248 54 -93 55 76 55 235 55 353 57 434 54 390 55 304 57 164 54 -4 56 -159 55 -276 55 -337 58 -372 55 -317 55 -243 57 -135 55 5 57 156 56 292 55 377 59 425 55 344 56 210 59 27 55 -156 57 -295 58 -368 55 -338 57 -283 57 -180 55 -73 59 25 55 109 55 193 56 280 52 324 53 348 52 286 50 150 52 -33 48 -210 47 -320 51 -385 45 -306 43 -204 46 -135 46 -66 39 -17 38 17 45 84 42 153 34 180 33 187 34 178 34 122 34 49 30 -9 27 -24 27 -2 28 60 35 206 1174 2026 100 MP stroke 27 246 23 262 6 60 5 59 5 57 19 178 19 118 21 23 6 -17 5 -29 38 -500 26 -683 6 -166 57 -1792 10 -338 2 -68 899 4616 17 MP stroke /c11 { 0.000000 0.750000 0.750000 sr} bdef c11 55 -467 52 -469 54 -419 53 -291 53 -126 54 59 53 231 54 368 54 445 53 447 55 394 53 265 54 107 55 -71 53 -234 54 -365 55 -439 53 -436 56 -382 54 -244 54 -76 55 108 54 266 55 386 55 438 54 406 56 331 54 183 54 25 57 -141 53 -271 56 -372 54 -407 54 -378 57 -309 54 -157 55 5 56 180 54 311 55 410 55 415 55 349 57 239 54 68 55 -89 57 -232 54 -314 56 -367 55 -351 55 -289 58 -203 55 -60 55 89 57 245 55 348 57 415 56 388 55 275 59 119 55 -70 56 -226 59 -345 55 -348 57 -319 58 -244 55 -135 57 -38 57 66 55 162 59 281 55 338 55 367 56 326 52 179 53 -5 52 -191 50 -314 52 -372 48 -319 47 -235 51 -160 45 -67 43 -1 46 65 46 134 39 159 38 167 45 180 42 119 34 71 33 64 34 99 34 159 34 226 30 219 27 179 27 104 28 -25 35 -282 1174 1597 100 MP stroke 27 -390 23 -452 6 -110 5 -112 5 -111 19 -383 19 -340 21 -288 6 -50 5 -39 38 29 26 346 6 98 57 1076 10 203 2 41 899 2079 17 MP stroke /c12 { 0.750000 0.000000 0.750000 sr} bdef c12 55 -352 52 -186 54 -5 53 176 53 327 54 437 53 457 54 425 54 324 53 171 55 -4 53 -177 54 -324 55 -431 53 -451 54 -414 55 -306 53 -146 56 35 54 209 54 344 55 434 54 427 55 373 55 253 54 95 56 -73 54 -223 54 -338 57 -418 53 -401 56 -349 54 -225 54 -66 57 115 54 265 55 378 56 433 54 383 55 296 55 145 55 -16 57 -177 54 -282 55 -353 57 -379 54 -328 56 -255 55 -128 55 20 58 187 55 311 55 397 57 419 55 328 57 197 56 15 55 -151 59 -294 55 -343 56 -340 59 -302 55 -197 57 -102 58 9 55 120 57 241 57 338 55 377 59 379 55 235 55 56 56 -147 52 -289 53 -368 52 -348 50 -269 52 -182 48 -79 47 3 51 83 45 133 43 151 46 170 46 159 39 132 38 141 45 213 42 241 34 207 33 149 34 49 34 -113 34 -301 30 -380 27 -404 27 -394 28 -309 35 -183 1174 3489 100 MP stroke 27 47 23 159 6 48 5 51 5 53 19 195 19 185 21 161 6 27 5 20 38 -46 26 -237 6 -65 57 -717 10 -135 2 -27 899 3770 17 MP stroke /c13 { 0.750000 0.750000 0.000000 sr} bdef c13 55 119 52 282 54 409 53 462 53 450 54 379 53 232 54 65 54 -117 53 -277 55 -406 53 -455 54 -441 55 -364 53 -212 54 -38 55 145 53 296 56 412 54 442 54 405 55 316 54 164 55 0 55 -166 54 -299 56 -404 54 -419 54 -385 57 -294 53 -132 56 40 54 210 54 338 57 434 54 410 55 344 56 220 54 56 55 -103 55 -239 55 -329 57 -395 54 -361 55 -302 57 -196 54 -45 56 116 55 265 55 367 58 435 55 371 55 262 57 103 55 -74 57 -227 56 -322 55 -345 59 -340 55 -257 56 -165 59 -58 55 66 57 193 58 316 55 375 57 399 57 309 55 139 59 -66 55 -242 55 -350 56 -380 52 -306 53 -220 52 -110 50 -13 52 68 48 120 47 149 51 181 45 182 43 193 46 246 46 271 39 213 38 132 45 -15 42 -221 34 -326 33 -372 34 -381 34 -292 34 -147 30 4 27 85 27 123 28 106 35 40 1174 2880 100 MP stroke 27 -63 23 -115 6 -31 5 -31 5 -32 19 -106 19 -79 21 -28 6 7 5 14 38 285 26 406 6 100 57 1076 10 203 2 40 899 1234 17 MP stroke gr c13 0 sg %%IncludeResource: 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{newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate 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(orks)f(with)f(di\013eren)m(tiated)h(services)h(tra\016c.)f Fe(A)n(utomatic)-5 b(a)p Fs(,)31 b(47\(2011\))j(26{38)139 4124 y([9])47 b(R.)21 b(Olfati-Sab)s(er,)j(R.)e(M.)g(Murra)m(y)-8 b(,)23 b(Consensus)e(problems)f(in)h(net)m(w)m(orks)i(of)e(agen)m(ts)i (with)e(switc)m(h-)281 4294 y(ing)30 b(top)s(ology)i(and)e(time-dela)m (ys.)i Fe(IEEE)g(T)-7 b(r)i(ans.)34 b(A)n(utomat.)f(Contr)-5 b(ol)p Fs(,)33 b(49\(2004\))h(1520{1533)94 4538 y([10])47 b(J.)33 b(K.)f(Hale,)j(S.)d(M.)i(V)-8 b(erduyn)31 b(Lunel,)i Fe(Intr)-5 b(o)g(duction)38 b(to)d(F)-7 b(unctional)36 b(Di\013er)-5 b(ential)35 b(Equations)p Fs(.)281 4707 y(Springer,)29 b(New)i(Y)-8 b(ork,)31 b(1993)94 4951 y([11])47 b(A.)34 b(Seuret,)h(D.)g(Dimarogonas,)h(K.)e(Johansson,)h (Consensus)d(under)h(comm)m(unication)i(dela)m(ys.)281 5121 y Fe(Pr)-5 b(o)g(c.)33 b(47th)h(IEEE)e(Conf.)h(De)-5 b(cision)33 b(and)g(Contr)-5 b(ol)p Fs(,)33 b(Mexico,)f(2008)94 5365 y([12])47 b(P)-8 b(.)38 b(Lin,)h(Y.)f(Jia,)i(Av)m(erage)f (consensus)e(in)g(net)m(w)m(orks)h(of)g(m)m(ulti-agen)m(ts)i(with)d(b)s (oth)g(switc)m(hing)281 5534 y(top)s(ology)32 b(and)d(coupling)i (time-dela)m(y)-8 b(.)33 b Fe(Physic)-5 b(a)34 b(A)p Fs(,)c(387\(2008\))k(303{313)1820 5809 y(16)p eop end %%Page: 17 17 TeXDict begin 17 16 bop 94 219 a Fs([13])47 b(P)-8 b(.)45 b(Lin,)i(Y.)e(Jia,)j(Consensus)43 b(of)h(second-order)g(discrete-time)j (m)m(ulti-agen)m(t)f(systems)f(with)281 388 y(non)m(uniform)31 b(time-dela)m(ys)k(and)e(dynamically)g(c)m(hanging)h(top)s(ologies.)h Fe(A)n(utomatic)-5 b(a)p Fs(,)35 b(45\(2009\))281 557 y(2154{2158)94 797 y([14])47 b(W.)32 b(Zh)m(u,)g(D.)h(Cheng,)f (Leader-follo)m(wing)i(consensus)d(of)h(second-order)g(agen)m(ts)i (with)e(m)m(ultiple)281 966 y(time-v)-5 b(arying)31 b(dela)m(ys.)h Fe(A)n(utomatic)-5 b(a)p Fs(,)32 b(46\(2010\))h(1994{1999)94 1205 y([15])47 b(Y.)57 b(Sun,)62 b(L.)57 b(W)-8 b(ang,)65 b(G.)58 b(Xie,)65 b(Av)m(erage)58 b(consensus)f(in)f(net)m(w)m(orks)i (of)f(dynamic)g(agen)m(ts)281 1375 y(with)38 b(switc)m(hing)i(top)s (ologies)g(and)e(m)m(ultiple)h(time-v)-5 b(arying)40 b(dela)m(ys.)g Fe(Systems)h(Contr)-5 b(ol)43 b(L)-5 b(ett.)p Fs(,)281 1544 y(57\(2008\))34 b(175{183)94 1783 y([16])47 b(T.)32 b(Zhang,)h(H.)g(Y)-8 b(u,)34 b(Av)m(erage)g(consensus)e(in)g (net)m(w)m(orks)i(of)e(m)m(ulti-agen)m(t)k(with)c(m)m(ultiple)h(time-) 281 1953 y(v)-5 b(arying)28 b(dela)m(ys.)i Fe(Int.)h(J.)f(Communic)-5 b(ations,)34 b(Network)d(and)h(System)f(Scienc)-5 b(es)p Fs(,)29 b(3\(2010\))i(196{)281 2122 y(203)94 2361 y([17])47 b(H.)42 b(Y)-8 b(u,)45 b(X.)d(Xia,)j(T.)d(Zhang,)i(A)e(less)g(conserv) -5 b(ativ)m(e)44 b(metho)s(d)d(for)g(a)m(v)m(erage)k(consensus)c(with) 281 2530 y(m)m(ultiple)31 b(time-v)-5 b(arying)31 b(dela)m(ys.)h Fe(Pr)-5 b(o)g(c.)33 b(of)g(IEEE)f(Afric)-5 b(on)p Fs(,)31 b(Livingstone,)g(Zam)m(bia,)g(2011)94 2770 y([18])47 b(Q.)38 b(Zhang,)j(Y.)e(Niu,)i(L.)e(W)-8 b(ang,)42 b(L.)c(Shen,)i(H.)f (Zh)m(u,)h(Av)m(erage)h(consensus)d(seeking)h(of)g(high-)281 2939 y(order)21 b(con)m(tin)m(uous-time)i(m)m(ulti-agen)m(t)h(systems)d (with)g(m)m(ultiple)h(time-v)-5 b(arying)23 b(comm)m(unication)281 3108 y(dela)m(ys.)31 b Fe(Int.)i(J.)f(Contr)-5 b(ol,)35 b(A)n(utomation,)e(and)h(Systems)p Fs(,)e(9\(2011\))h(1209{1218)94 3348 y([19])47 b(Y.)39 b(Shang,)i(Emergence)f(in)e(random)h(noisy)g(en) m(vironmen)m(ts.)g Fe(Int.)i(J.)f(Math.)h(A)n(nal.)p Fs(,)g(4\(2010\))281 3517 y(1205{1215)94 3756 y([20])47 b(Y.)e(Shang,)k(Leader-follo)m(wing)e(consensus)e(problems)f(with)h(a)h (time-v)-5 b(arying)46 b(leader)g(under)281 3926 y(measuremen)m(t)31 b(noises.)g Fe(A)-5 b(dv.)32 b(Dyn.)g(Syst.)h(Appl.)p Fs(,)f(6\(2011\))h(255{270)94 4165 y([21])47 b(Y.)104 b(Shang,)121 b Fn(L)929 4132 y Fj(1)1072 4165 y Fs(group)103 b(consensus)g(of)h(m)m(ulti-agen)m(t)i(systems)e(with)f(sto)s(c)m(has-) 281 4334 y(tic)87 b(inputs)f(under)f(directed)i(in)m(teraction)i(top)s (ology)-8 b(.)88 b Fe(Int.)d(J.)f(Contr)-5 b(ol)p Fs(,)103 b(85\(2012\))281 4504 y(DOI:10.1080/0020717)q(9.2)q(01)q(2.7)q(15)q(75) q(3)94 4743 y([22])47 b(Y.)35 b(Shang,)h(Consensus)e(reco)m(v)m(ery)j (in)e(net)m(w)m(ork)m(ed)h(m)m(ulti-agen)m(t)i(time-dela)m(y)f(systems) e(against)281 4912 y(targeted)d(attac)m(ks.)h Fe(A)-5 b(dv.)32 b(Sci.)g(Eng.)g(Me)-5 b(d.)p Fs(,)31 b(4\(2012\))i(535{539)94 5152 y([23])47 b(P)-8 b(.)22 b(Gahinet,)j(A.)d(Nemiro)m(vski,)j(A.)e (J.)e(Laub,)j(M.)e(Chilali,)i Fe(LMI)h(Contr)-5 b(ol)27 b(T)-7 b(o)i(olb)g(ox)27 b(User's)e(Guide)p Fs(.)281 5321 y(The)30 b(Math)h(W)-8 b(orks,)31 b(Natic)m(k,)i(MA,)e(1995)94 5560 y([24])47 b(R.)30 b(A.)h(Horn,)f(C.)h(R.)f(Johnson,)g Fe(Matrix)j(A)n(nalysis)p Fs(.)e(Cam)m(bridge)f(Univ)m(ersit)m(y)i (Press,)e(1985)1820 5809 y(17)p eop end %%Page: 18 18 TeXDict begin 18 17 bop 94 219 a Fs([25])47 b(J.)31 b(Cort)m(\023)-43 b(es,)33 b(Distributed)e(algorithms)i(for)e(reac)m(hing)h(consensus)e (on)i(general)g(functions.)f Fe(A)n(uto-)281 388 y(matic)-5 b(a)p Fs(,)32 b(44\(2008\))i(726{737)94 632 y([26])47 b(B.)c(Bo)m(yd,)j(L.)d(E.)f(Ghaoui,)k(E.)d(F)-8 b(eron,)46 b(V.)d(Balakrishnan,)i Fe(Line)-5 b(ar)45 b(Matrix)f(Ine)-5 b(qualities)44 b(in)281 801 y(System)33 b(and)h(Contr)-5 b(ol)34 b(The)-5 b(ory)p Fs(.)33 b(SIAM,)d(Philadelphia,)h(P)-8 b(A,)31 b(1994)94 1045 y([27])47 b(Y.)34 b(Gu,)h(S.)e(W)-8 b(ang,)36 b(Q.)e(Li,)h(Z.)e(Cheng,)i(J.)f(Qian,)g(On)f(dela)m(y-dep)s (enden)m(t)h(stabilit)m(y)i(and)d(deca)m(y)281 1215 y(estimate)g(for)e (uncertain)g(systems)h(with)f(time-v)-5 b(arying)32 b(dela)m(y)-8 b(.)33 b Fe(A)n(utomatic)-5 b(a)p Fs(,)33 b(34\(1998\))i(1035{)281 1384 y(1039)94 1628 y([28])47 b(Y.)29 b(Y.)h(Cao,)g(Y.)f(X.)h(Sun,)e (C.)h(Cheng,)g(Dela)m(y-dep)s(enden)m(t)h(robust)e(stabilization)k (with)d(m)m(ultiple)281 1798 y(state)j(dela)m(ys.)f Fe(IEEE)h(T)-7 b(r)i(ans.)34 b(A)n(utomat.)f(Contr)-5 b(ol)p Fs(,)32 b(43\(1998\))i(1608{1612)1820 5809 y(18)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF ---------------1210231525684--