Stability analysis of fractional-order complex-valued neural networks with time delays

被引：111

作者：

Rakkiyappan, R. ^{[1
]}

Velmurugan, G. ^{[1
]}

Cao, Jinde ^{[2
,3
,4
]}

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[3] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China

[4] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

CHAOS SOLITONS & FRACTALS | 2015年 / 78卷

基金：

中国国家自然科学基金;

关键词：

Complex-valued Hopfield neural networks; Fractional-order; Time delays; Stability; Ring structure; Hub structure; GLOBAL STABILITY; EXPONENTIAL STABILITY; SYNCHRONIZATION; SYSTEMS; DYNAMICS; CHAOS;

D O I：

10.1016/j.chaos.2015.08.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the problem of stability analysis of fractional-order complex-valued Hopfield neural networks with time delays, which have been extensively investigated. Moreover, the fractional-order complex-valued Hopfield neural networks with hub structure and time delays are studied, and two types of fractional-order complex-valued Hopfield neural networks with different ring structures and time delays are also discussed. Some sufficient conditions are derived by using stability theorem of linear fractional-order systems to ensure the stability of the considered systems with hub structure. In addition, some sufficient conditions for the stability of considered systems with different ring structures are also obtained. Finally, three numerical examples are given to illustrate the effectiveness of our theoretical results. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：297 / 316

页数：20

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