Yukio Nagahata and Nobuo Yoshida A Note on the Central Limit Theorem for a Class of Linear Systems (154K, LaTex) ABSTRACT. We consider a class of continuous-time stochastic growth models on $d$-dimensional lattice with non-negative real numbers as possible values per site. We remark that the central limit theorem proven in our previous work [Nagahata, Y., Yoshida, N.: Central Limit Theorem for a Class of Linear Systems, Electron. J. Probab. Vol. 14, No. 34, 960--977. (2009)] can be extended to wider class of models so that it covers the cases of potlatch/smoothing processes.