title: Analysis of complete stability for discrete-time cellular neural networks with piecewise linear output functions.
abstract: This letter discusses the complete stability of discrete-time cellular neural networks with piecewise linear output functions. Under the assumption of certain symmetry on the feedback matrix, a sufficient condition of complete stability is derived by finite trajectory length. Because the symmetric conditions are not robust, the complete stability of networks may be lost under sufficiently small perturbations. The robust conditions of complete stability are also given for discrete-time cellular neural networks with multiple equilibrium points and a unique equilibrium point. These complete stability results are robust and available.
authors.affiliation: Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, PRC. lixuemei_1@sina.com
authors.forename: Xuemei
authors.initials: X
authors.lastname: Li
mesh_terms: D000818:Animals; D003198:Computer Simulation; D005246:Feedback; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics; D010363:Pattern Recognition, Automated; D013997:Time Factors