Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays

被引：25

作者：

Zhang, Lijuan ^{[1
]}

Si, Ligeng ^{[2
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China

[2] Inner Mongolia Normal Univ, Dept Math, Hohhot 010020, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 194卷 / 01期

基金：

中国国家自然科学基金;

关键词：

BAM neural networks; almost periodic solution; globally exponential stability; exponential dichotomy; fixed point theory;

D O I：

10.1016/j.amc.2007.04.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using exponential dichotomy, the Banach fixed point theory, constructing suitable Lyapunov functional, and combining Yang inequality, some sufficient conditions are derived ensuring existence, globally exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays. Without assuming the boundedness of signal function, these results obtained are significant in design and applications of BAM neural networks. We extend and improve previously known results. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：215 / 223

页数：9

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