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Published in:
2010 | OriginalPaper | Chapter
Stability of Equilibrium Solution and Periodical Solution to Cohen-Grossberg Neural Networks
Authors : Jingsheng Lei, Ping Yan, Teng Lv
Published in: Artificial Intelligence and Computational Intelligence
Publisher: Springer Berlin Heidelberg
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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.