Global stability analysis of impulsive Cohen-Grossberg neural networks with delay

被引：89
|
作者：
Chen, Z
Ruan, J [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Res Ctr, Shanghai 200433, Peoples R China
[2] Fudan Univ, Sch Math Sci, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
PHYSICS LETTERS A | 2005年 / 345卷 / 1-3期
关键词：
neural networks; impulsive; time delay; globally exponential stability; Lyapunov function; periodic solution;
D O I：
10.1016/j.physleta.2005.06.104
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, several classes of impulsive Cohen-Grossberg neural networks with time delay are studied. Globally exponential stability and globally exponentially robust stability are investigated by Lyapumov function and Halanay inequality. Furthermore, sufficient conditions are given to guarantee the existence of omega-periodic solution and all other solutions are convergent to it globally exponentially. At last, two examples are given to show the effectiveness of results in this Letter. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：101 / 111
页数：11
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