Attracting and quasi-invariant sets for BAM neural networks of neutral-type with time-varying and infinite distributed delays

被引：13

作者：

Zhao, Zhihua ^{[1
]}

Jian, Jigui ^{[1
]}

机构：

[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China

来源：

NEUROCOMPUTING | 2014年 / 140卷

基金：

中国国家自然科学基金;

关键词：

BAM neural networks of neutral-type; Quasi-invariant sets; Attracting sets; Infinite distributed delays; Delay integral inequality; FUNCTIONAL-DIFFERENTIAL EQUATIONS; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; PERIODIC-SOLUTIONS; EXISTENCE; PASSIVITY;

D O I：

10.1016/j.neucom.2014.03.015

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a class of neutral-type BAM neural networks with time-varying and infinite distributed delays is investigated. To this end, we first establish one bidirectional delay integral inequality by applying the properties of spectral radius of nonnegative matrix. Based on the bidirectional integral inequality, some new sufficient conditions for the existence of quasi-invariant and attracting sets of the considering system are obtained. Meanwhile, the framework of the quasi-invariant and attracting sets for BAM neural networks of neutral-type with time-varying and infinite distributed delays is given out. Finally, the validity of the obtained results is illustrated by a numerical example with simulations. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：265 / 272

页数：8

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