一类自治网络的全局稳定性及其应用

应用科学学报 ›› 1996, Vol. 14 ›› Issue (1): 41-47.

一类自治网络的全局稳定性及其应用

刘小河

西安理工大学

收稿日期:1994-03-25 修回日期:1994-07-23 出版日期:1996-03-31 发布日期:1996-03-31
作者简介:刘小河:副教授,西安理工大学自动化工程系,西安 710048
基金资助:
陕西省自然科学基金资助项目

THE OVERALL STABILITY OF SOME NONLINEARNON-FORCED NETWORKS AND ITS APPLICATION

LIU XIAOHE

Xi'an university of Technology

Received:1994-03-25 Revised:1994-07-23 Online:1996-03-31 Published:1996-03-31

摘要/Abstract

摘要： 该文研究了一类具有分布式并行处理特征的非线性自治网络的全局稳定性,给出了全局渐近稳定及全局指数稳定的实用判据,并以连续Hopfield神经网络为例讨论了其应用.该文的结果可适用于含有非互易及局部有源电阻元件的自治网络.

关键词: 非线性自治网络, 全局稳定性

Abstract: In this paper,the overall stability of some nonlinear non-forced networks with the disposed parallel characteristic is studied. The anther puts foward some applied criterions for the overall asymptotic stability and overall exponential stability,and the example of continous Hopfield neural networks is discussed for the application.The result of the paper is applicable to the nonlinear non-forced network with nonreciprocal resistor and local active resistor.

Key words: Nonlinear non-forced networks, Overall stability

刘小河. 一类自治网络的全局稳定性及其应用[J]. 应用科学学报, 1996, 14(1): 41-47.

LIU XIAOHE. THE OVERALL STABILITY OF SOME NONLINEARNON-FORCED NETWORKS AND ITS APPLICATION[J]. Journal of Applied Sciences, 1996, 14(1): 41-47.