Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays

被引：21

作者：

Cai, Mingshan ^{[2
]}

Zhang, Hong ^{[1
]}

Yuan, Zhaohui ^{[3
]}

机构：

[1] Hunan Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China

[2] Hunan Univ Arts & Sci, Dept Elect Engn, Changde 415000, Hunan, Peoples R China

[3] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 78卷 / 04期

基金：

中国国家自然科学基金;

关键词：

shunting inhibitory cellular neural networks; almost periodic solution; exponential stability; time-varying delays;

D O I：

10.1016/j.matcom.2007.08.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is concerned with the existence and exponential stability of positive almost periodic solutions of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays arising from the description of the states of neurons in delayed neural networks in a time-varying situation. By applying Lyapunov functional method and differential inequality techniques, new sufficient conditions ensuring the existence and exponential stability of positive almost periodic solutions for SICNNs are established. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：548 / 558

页数：11

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