Existence and global exponential stability of periodic solution of a cellular neural networks difference equation with delays and impulses

Authors:
Xinsong Yang;Xiangzhao Cui;Yao Long
Affiliations:
Department of Mathematics, Honghe University, Mengzi, Yunnan, 661100, China;Department of Mathematics, Honghe University, Mengzi, Yunnan, 661100, China;Department of Mathematics, Honghe University, Mengzi, Yunnan, 661100, China
Venue:
Neural Networks
Year:
2009

Citing 3
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Abstract

A class of cellular neural networks difference equation with delays and impulses are considered. Sufficient conditions for the existence and global exponential stability of periodic solution are obtained by using contraction mapping theorem and inequality techniques. The results of this paper are completely new. A numerical example and its simulations are offered to show the effectiveness of our new results.