EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS

- Journal title : Journal of the Korean Mathematical Society
- Volume 43, Issue 2, 2006, pp.445-459
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2006.43.2.445

Title & Authors

EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS

Liu Bingwen; Huang Lihong;

Liu Bingwen; Huang Lihong;

Abstract

In this paper cellular neural networks with continuously distributed delays are considered. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using fixed point theorem, Lyapunov functional method and differential inequality technique. The results of this paper are new and they complement previously known results.

Keywords

cellular neural networks;almost periodic solution;exponential stability;continuously distributed delays;

Language

English

Cited by

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