Existence and stability of equilibria of the continuous-time Hopfield neural network

被引：21

作者：

Chen, SH ^{[1
]}

Zhang, Q

Wang, CP

机构：

[1] Wuhan Univ, Coll Math & Stat, Wuhan 430072, Peoples R China

[2] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 169卷 / 01期

关键词：

Hopfield neural network; existence and uniqueness of equilibrium; global and asymptotical stability;

D O I：

10.1016/j.cam.2003.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The qualitative properties of the continuous-time Hopfield neural network are investigated. By using the Cauchy existence theorem of ordinary differential equations, a set of new and simple sufficient conditions guaranteeing the existence and uniqueness of equilibrium is derived. Furthermore, global and asymptotical stability conditions are established by means of Lyapunov method. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：117 / 125

页数：9

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