Absolute stability of a class of neural networks with unbounded delay

被引：24

作者：

Zhang, JY ^{[1
]}

机构：

[1] SW Jiaotong Univ, Natl Tract Power Lab, Chengdu 610031, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS | 2004年 / 32卷 / 01期

关键词：

neural networks; unbounded delay; absolute stability; globally asymptotic stability;

D O I：

10.1002/cta.257

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, the existence and uniqueness of the equilibrium point and absolute stability of a class of neural networks with partially Lipschitz continue activation functions are investigated. The neural networks contain both variable and unbounded delays. Using the matrix property, the necessary and sufficient condition for the existence and uniqueness of the equilibrium point of the neural networks is obtained. By constructing proper vector Liapunov functions and non-linear integro-differential inequalities involving both variable delays and unbounded delay, the sufficient conditions for absolute stability (global asymptotic stability) are obtained. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：11 / 21

页数：11

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