Further analysis of global μ-stability of complex-valued neural networks with unbounded time-varying delays

被引：73
作者：
Velmurugan, G. [1 ]
Rakkiyappan, R. [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：
NEURAL NETWORKS | 2015年 / 67卷
基金：
中国国家自然科学基金;
关键词：
Complex-valued Neural Networks (CVNNs); Global mu-stability; Linear Matrix Inequality (LMI); Unbounded time-varying delays; EXPONENTIAL STABILITY;
D O I：
10.1016/j.neunet.2015.03.007
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, we consider the problem of global mu-stability for complex-valued neural networks (CVNNs) with unbounded time-varying delays and it has been widely investigated. Under mild conditions, some new sufficient conditions for global mu-stability of considered CVNNs are derived. Moreover, some new sufficient conditions are obtained to ensure the global mu-stability of CVNNs in the form of complex-valued LMIs as well as real-valued LMIs by using an appropriate Lyapunov-Krasovskii functional and linear matrix inequalities (LMIs). Both of complex-valued LMIs as well as real-valued LMIs are easily solved by using standard numerical algorithms. Finally, two numerical examples are presented to demonstrate the effectiveness and usefulness of our theoretical results. (C) 2015 Elsevier Ltd. All rights reserved.
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收藏
页码：14 / 27
页数：14
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