Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837630 | Nonlinear Analysis: Real World Applications | 2011 | 14 Pages |
Abstract
In this paper, we discuss anti-periodic solution for delayed cellular neural networks with impulsive effects. By means of contraction mapping principle and Krasnoselski’s fixed point theorem, we obtain the existence of anti-periodic solution for neural networks. By establishing a new impulsive differential inequality, using Lyapunov functions and inequality techniques, some new results for exponential stability of anti-periodic solution are obtained. Meanwhile, an example and numerical simulations are given to show that impulses may change the exponentially stable behavior of anti-periodic solution.
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Authors
Lijun Pan, Jinde Cao,