Dynamics of neural networks with variable coefficients and time-varying delays

被引：10

作者：

Jiang, Haijun ^{[1
]}

Teng, Zhidong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

NEURAL NETWORKS | 2006年 / 19卷 / 05期

基金：

中国国家自然科学基金;

关键词：

neural networks; variable coefficients; time-varying delay; boundedness; global exponential stability; periodic solution; equilibrium point;

D O I：

10.1016/j.neunet.2005.06.050

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper studies the general neural networks dynamical systems with variable coefficients and time-varying delays. By applying the Young inequality technique, Dini derivative and introducing many real parameters, and estimating the upper bound of solutions of the system, a series of new and useful criteria on the boundedness, global exponential stability and the existence and global exponential stability of the periodic solutions are established. Particularly, when the system degenerates into the autonomous case, the new criteria on the existence, uniqueness and global exponential stability of the equilibrium points are obtained. The results obtained in this paper extend and generalize the corresponding results existing in previous literature. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：676 / 683

页数：8

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