具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)

蒋海军

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具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)

更新时间：2026-01-21

- 具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 26, Issue 1, Pages: 1-15(2009)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175.13
- Published：2009
- 稿件说明：
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[1]蒋海军.具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)[J].新疆大学学报(自然科学版),2009,26(01):1-15.

蒋海军. 具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2009, 26(1): 1-15.
[1]蒋海军.具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)[J].新疆大学学报(自然科学版),2009,26(01):1-15. DOI：

蒋海军. 具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2009, 26(1): 1-15. DOI：

摘要

研究了具有变系数和无穷时滞的双向联想记忆神经网络

通过引入相空间Cg(R_)×Cg(R_)和Lyapunov泛函方法

建立了一系列关于解的有界性和全局渐近稳定性的判别准则.对于具有变系数和无穷时滞周期的双向联想记忆神经网络

通过应用周期解存在定理

建立了该系统周期解存在和全局稳定的充分条件.将上述结果应用于自治双向联想记忆神经网络

得到了平衡点的存在性、唯一性和全局渐近稳定性.

Abstract

In this paper

the bidirectional associative memory neural networks with variable coeffcients and infinite distributed delay is studied.By introducing the phase space Cg(R_)×Cg(R_)and applying Lyapunov functional method

we establish a series of criteria on the boundedness

global asymptotic stability. As applications of these results and combining the existence theorems of periodic solutions for general functional differential equations with infinite delay

we obtain the existence of periodic solutions and its global asymptotic stability for the periodic bidirectional associative memory neural networks with infinite distributed delay.As a special case

we apply these results to the autonomous bidirectional associative memory neural networks with infinite distributed delay

and obtain the existence

uniqueness and global stability of equilibrium point.

关键词

Keywords

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