Stability of Cohen-Grossberg neural networks with distributed delays

被引：72

作者：

Wang, L ^{[1
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 160卷 / 01期

关键词：

Cohen-Grossberg neural networks; distributed delay; equilibrium; Hopfield neural networks; Liapunov function; periodic solution; stability;

D O I：

10.1016/j.amc.2003.09.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Global asymptotic stability and global exponential stability of the Cohen-Grossberg neural networks and Hopfield neural networks with infinite and finite distributed delays are investigated in this paper. For Hopfield neural networks with distributed delays, local stability is also discussed. The existence and global stability of periodic solutions of Hopfield neural networks with distributed delays and periodic inputs are achieved by using the theory of dissipative systems. (C) 2003 Published by Elsevier Inc.

引用

页码：93 / 110

页数：18

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