Jiang M. Equilibrium States for Lattice Models of Hyperbolic Type (83K, Plain TeX) ABSTRACT. We study the structural stability of coupled map lattice models of hyperbolic type under certain metrics. We prove the existence of equilibrium states for continuous functions on lattice models under the conditions of weak interaction and translation invariance. We also study the uniqueness and ergodic properties of these equilibrium states for H\"older continuous functions.