Attracting and invariant sets of fuzzy Cohen-Grossberg neural networks with time-varying delays

被引：32

作者：

He, Danhua ^{[1
]}

Xu, Daoyi ^{[1
]}

机构：

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 47期

基金：

中国国家自然科学基金;

关键词：

Fuzzy Cohen-Grossberg neural networks; Time-varying delays; Invariant set; Attracting set; Barbalat's lemma;

D O I：

10.1016/j.physleta.2008.10.035

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, a class of fuzzy Cohen-Grossberg neural networks (FCGNNs) with time-varying delays is investigated. With removing some restrictions on the amplification functions, a new nonlinear delay differential inequality is established, which improves previously known criteria. By using the properties of M-cone and a generalization of Barbalat's lemma, the boundedness and asymptotic behavior for the solution of the inequality are obtained. Applying this nonlinear delay differential inequality, a series of new and useful criteria are obtained to ensure the existence of global attracting set and invariant set for FCGNNs with time-varying delays. An example is given to illustrate the effectiveness of our results. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：7057 / 7062

页数：6

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