On global exponential stability for impulsive cellular neural networks with time-varying delays

被引：50
|
作者：
Stamova, Ivanka M. [1 ]
Ilarionov, Rajcho [2 ]
机构：
[1] Bourgas Free Univ, Burgas 8000, Bulgaria
[2] Tech Univ Gabrovo, Gabrovo 5300, Bulgaria
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 11期
关键词：
Global exponential stability; Impulsive cellular neural networks; Delays; Lyapunov method; FUNCTIONAL-DIFFERENTIAL EQUATIONS; PERIODIC-SOLUTIONS;
D O I：
10.1016/j.camwa.2010.03.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of global exponential stability for cellular neural networks (CNNs) with time-varying delays and fixed moments of impulsive effect is studied. A new sufficient condition has been presented ensuring the global exponential stability of the equilibrium points by using piecewise continuous Lyapunov functions and the Razumikhin technique combined with Young's inequality. The results established here extend those given previously in the literature. Compared with the method of Lyapunov functionals as in most previous studies, our method is simpler and more effective for stability analysis. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3508 / 3515
页数：8
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