Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays

被引：21
|
作者：
Fu, Xilin [1 ]
Li, Xiaodi [2 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 231卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stability; Impulsive Hopfield neural networks; Equilibrium; Time delays; ALMOST-PERIODIC SOLUTIONS;
D O I：
10.1016/j.cam.2009.02.094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by means of constructing the extended impulsive delayed Halanay inequality and by Lyapunov functional methods, we analyze the global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays. Some new sufficient conditions ensuring exponential stability of the unique equilibrium point of impulsive Hopfield neural networks with time delays are obtained. Those conditions are more feasible than that given in the earlier references to some extent. Some numerical examples are also discussed in this work to illustrate the advantage of the results we obtained. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：187 / 199
页数：13
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