Stability of equilibrium solution and periodical solution to Cohen-Grossberg neural networks

Authors:
Jingsheng Lei;Ping Yan;Teng Lv
Affiliations:
College of Computer and Information Engineering, Shanghai University of Electronic Power, Shanghai, P.R. China;School of Science, Anhui Agricultural University, Hefei, P.R. China;Teaching and Research Section of Computer, Artillery Academy, Hefei, P.R. China
Venue:
AICI'10 Proceedings of the 2010 international conference on Artificial intelligence and computational intelligence: Part I
Year:
2010

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Abstract

In this paper, we study delayed reaction-diffusion Cohen-Grossberg neural networks with Dirichlet boundary conditions. By using topology degree theory and constructing suitable Lyapunov functional, some sufficient conditions are given to ensure the existence, uniqueness and globally exponential stability of the equilibrium point. At the same time, another sufficient conditions are also given to ensure the existence and exponential convergence of the periodical solution.