Stability of equilibrium solution and periodical solution to Cohen-Grossberg neural networks
AICI'10 Proceedings of the 2010 international conference on Artificial intelligence and computational intelligence: Part I
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In this paper, we study reaction-diffusion high-order Cohen-Grossberg neural networks with delays and variable coefficient. Under the Dirichlet boundary condition, by using topology degree theory and constructing Lyapunov functional method, some sufficient conditions are given to ensure the existence, uniqueness and globally exponential stability of the equilibrium point. Finally, a numerical example is given to verify the theoretical analysis.