Article ID Journal Published Year Pages File Type
756136 Communications in Nonlinear Science and Numerical Simulation 2009 7 Pages PDF
Abstract

In this paper, a class of Cohen–Grossberg neural networks (CGNNs) with bounded and unbounded delays are considered. We establish some sufficient conditions on the existence and exponential stability of anti-periodic solutions for the following Cohen–Grossberg neural networksxi′(t)=-ai(xi(t))bi(xi(t))-∑j=1ncij(t)fj(xj(t))-∑j=1ndij(t)gj(xj(t-τij(t)))-∑j=1neij(t)∫0∞kij(θ)hj(xj(t-θ))dθ-Ii(t),i=1,2,…,n.Moreover, we also present an example to illustrate the feasibility and effectiveness of our results.

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