Asymptotic behavior of discrete solutions to delayed neural networks with impulses

Authors:
Hong Zhang;Lansun Chen
Affiliations:
Department of Mathematics, Jiangsu University, ZhenJiang, JiangSu, 212013, PR China;Department of Applied Mathematics, Dalian University of Technology, DaLian, LiaoNing, 116024, PR China
Venue:
Neurocomputing
Year:
2008

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Abstract

In this paper, we formulate and study a new class of discrete neural networks with time dependent delay and impulses. Sufficient conditions for the asymptotic stability of a unique equilibrium of the networks with Lipschitizian activation functions are established. Also when the impulsive jumps are absent the results reduce to those of non-impulsive networks.