Exponential stability of impulsive Cohen–Grossberg networks with distributed delays

Authors:
Zhenkun Huang;Xinghua Wang;Yonghui Xia
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou 310027, China and School of Sciences, Jimei University, Xiamen 361021, China;Department of Mathematics, Zhejiang University, Hangzhou 310027, China;College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China
Venue:
International Journal of Circuit Theory and Applications
Year:
2008

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Abstract

In this paper, we investigate impulsive Cohen–Grossberg networks with distributed delays. By Lyapunov–Kravsovskii functional and homeomorphism theory, some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self-regulation functions. The obtained sufficient conditions are easy to verify, meanwhile we remove the usual assumption that the activation functions are bounded and our results improve the previously known results. It is believed that these results are significant and useful for the design and applications of Cohen–Grossberg networks. Copyright © 2007 John Wiley & Sons, Ltd.