The Stability Analysis of Cellular Networks with Infinite Delay

ZHONG Shou-ming; HUANG Ting-zhu; HUANG Yuan-qing

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The Stability Analysis of Cellular Networks with Infinite Delay

更新时间：2025-07-16

- The Stability Analysis of Cellular Networks with Infinite Delay
- Acta Electronica Sinica Vol. 29, Issue 5, Pages: 626-629(2001)
- 作者机构：
  
  1. 电子科技大学应用数学系,成都,610054
  2. 四川轻化工学院电子工程系,自贡,643033
  3. 电子科技大学应用数学系成都,610054
  4. 四川轻化工学院电子工程系自贡,643033
- 作者简介：
- 基金信息：
- DOI：
  CLC： O231
- Published Online：25 May 2001，
  
  Published：2001
- 稿件说明：
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ZHONG Shou-ming, HUANG Ting-zhu, HUANG Yuan-qing. The Stability Analysis of Cellular Networks with Infinite Delay[J]. Acta Electronica Sinica, 2001, 29(5): 626-629.
DOI：

ZHONG Shou-ming, HUANG Ting-zhu, HUANG Yuan-qing. The Stability Analysis of Cellular Networks with Infinite Delay[J]. Acta Electronica Sinica, 2001, 29(5): 626-629. DOI：

摘要

本文研究了具有无穷时滞的细胞神经网络的全局吸引性问题.利用常数变易法和不等式分析技巧

给出了无穷时滞的细胞神经网络无平衡点时

网络系统有吸引紧集的充分条件

同时也给出了无穷时滞的细胞神经网络有平衡点时

网络系统的平衡点全局渐近稳定的充分条件.其结果推广了文的相应结果.

Abstract

Global attractivity of Cellular Networks with infinite delay is investigated.By making use of the method of variation of parameters and the method of inequality analysis

the conditions for attractivity are given to work out the sets of attractions when the systems do not have equilibria.If the equilibria exist

conditions for the equilibria to be global attractors are presented.The conditions are obtained by extending the results of paper .

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