EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND LARGE IMPULSES

- Journal title : Journal of the Korean Mathematical Society
- Volume 46, Issue 5, 2009, pp.1071-1085
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2009.46.5.1071

Title & Authors

EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND LARGE IMPULSES

Zuo, Yi; Wang, Yaonan; Huang, Lihong; Li, Chunsheng;

Zuo, Yi; Wang, Yaonan; Huang, Lihong; Li, Chunsheng;

Abstract

This paper considers the problem of existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with distributed delays and large impulses. Based on the contraction principle and Gronwall-Bellman`s inequality, some sufficient conditions are obtained. The results of this paper are new and they complement previously known results.

Keywords

shunting inhibitory cellular neural networks;exponential stability;impulses;distributed delays;

Language

English

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