Global exponential stability of impulsive Cohen-Grossberg neural networks with delays

被引：6
|
作者：
Luo, Wenpin [1 ]
Zhong, Shouming [2 ]
Yang, Jun [3 ]
机构：
[1] Sichuan Univ Sci & Engn, Coll Sci, Zigong 643000, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Sichuan, Peoples R China
[3] Civil Aviat Flight Univ China, Coll Comp Sci, Guanghan 618307, Sichuan, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 02期
关键词：
TIME-VARYING DELAYS; ASYMPTOTIC STABILITY; DISTRIBUTED DELAYS; VARIABLE DELAYS;
D O I：
10.1016/j.chaos.2009.03.046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a class of Cohen-Grossberg neural networks involving delays and impulsive effects is considered. The analysis exploits a homeomorphism mapping and an appropriate Lyapunov functional, to derive easily verifiable sufficient conditions for convergence to the unique globally exponentially stable equilibrium state. The proposed conditions generalize some previous results in the literature. At last, two numerical examples are worked out to illustrate the effectiveness of our results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1084 / 1091
页数：8
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