反应扩散BAM神经网络的全局指数稳定性

J4 ›› 2012, Vol. 50 ›› Issue (06): 1086-1090.

反应扩散BAM神经网络的全局指数稳定性

饶若峰¹, 黄家琳¹, 钟守铭^1,2

1. 宜宾学院数学系, 四川宜宾 644007|2. 电子科技大学数学科学学院, 成都 610054

收稿日期:2012-01-19 出版日期:2012-11-26 发布日期:2012-11-26
通讯作者: 黄家琳 E-mail:jialinh2880@163.com

Global Exponential Stability of ReactionDiffusionBAM Neural Networks

RAO Ruofeng¹, HUANG Jialin¹, ZHONG Shouming^1,2

1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, China;2. School of |Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China

Received:2012-01-19 Online:2012-11-26 Published:2012-11-26
Contact: HUANG Jialin E-mail:jialinh2880@163.com

摘要/Abstract

摘要：

利用拓扑度技巧、 M-矩阵和变分理论, 得到了考虑扩散因素在内的双向联想记忆人工神经网络系统的全局指数稳定性判定定理. 结果表明, 所给判据得出的指数稳定收敛速率估计比传统结果更精细.

关键词: 全局指数稳定性； BAM神经网络；反应扩散；时滞

Abstract:

A global exponential stability judging theorem was given via topological degree technique, Mmatrix theory and variational methods, in which the reactiondiffusion item is considered. Our estimation of the convergent rate is more accurate than that of traditional estimation, and a numerical example shows the efficiency of the theorem.

Key words: global exponential stability, BAM neural networks, reactiondiffusion, timedelays

中图分类号:

O175.13

饶若峰, 黄家琳, 钟守铭. 反应扩散BAM神经网络的全局指数稳定性[J]. J4, 2012, 50(06): 1086-1090.

RAO Re-Feng, HUANG Jia-Lin, ZHONG Shou-Ming. Global Exponential Stability of ReactionDiffusionBAM Neural Networks[J]. J4, 2012, 50(06): 1086-1090.

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