Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms

被引：50

作者：

Li, Zuoan ^{[1
]}

Li, Kelin ^{[1
]}

机构：

[1] Sichuan Univ Sci & Engn, Dept Math, Sichuan 643000, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 03期

关键词：

Cohen-Grossberg neural networks; Impulses; Delays; Global exponential stability; Reaction-diffusion; GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; PERIODIC-SOLUTIONS; VARIABLE DELAYS; BOUNDEDNESS; EXISTENCE;

D O I：

10.1016/j.apm.2008.01.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we investigate a class of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms. By establishing an integro-differential inequality with impulsive initial conditions and applying M-matrix theory. we find some sufficient conditions ensuring the existence. uniqueness, global exponential stability and global robust exponential stability of equilibrium point for impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms. An example is given to illustrate the results obtained here. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1337 / 1348

页数：12

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