EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR CELLULAR NEURAL NETWORKS WITHOUT GLOBAL LIPSCHITZ CONDITIONS

- Journal title : Journal of the Korean Mathematical Society
- Volume 44, Issue 4, 2007, pp.873-887
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2007.44.4.873

Title & Authors

EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR CELLULAR NEURAL NETWORKS WITHOUT GLOBAL LIPSCHITZ CONDITIONS

Liu, Bingwan;

Liu, Bingwan;

Abstract

In this paper cellular neutral networks with time-varying delays and continuously distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, some sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using the fixed point theorem and differential inequality techniques. The results of this paper are new and complement previously known results.

Keywords

cellular neural networks;almost periodic solution;exponential stability;fixed point theorem;delays;

Language

English

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