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具无限变时滞的神经网络的稳定性分析
引用本文:曾志刚,傅朝金,廖晓昕.具无限变时滞的神经网络的稳定性分析[J].数学杂志,2002,22(4):391-396.
作者姓名:曾志刚  傅朝金  廖晓昕
作者单位:1. 华中科技大学控制科学与工程系,武汉,430074;湖北师范学院数学系,黄石,435002
2. 湖北师范学院数学系,黄石,435002
3. 华中科技大学控制科学与工程系,武汉,430074
基金项目:supported by the National Science Foundation (60 0 740 0 8),National Doctoral Foundation of China,and Significant Academic Foundation Foundation of Educa- tion Department of Hubei Province(2 0 0 1 Z0 60 0 3)
摘    要:本文研究了具无限变时滞的神经网络的全局指数稳定性,在假设神经元输出输入活化函数有界和满足全局Lipschitz条件下,得到了神经网络具唯一平衡点且该平衡点全局指数稳定的一些充分条件,推广了已有文献中无时滞的相应结果。

关 键 词:无限变时滞  神经网络  指数稳定

STABILITY ANALYSIS OF NEURAL NETWORKS WITH INFINITE TIME-VARYING DELAY
CENG Zhi-gang,FU Chao-jin,LIAO Xiao-xin.STABILITY ANALYSIS OF NEURAL NETWORKS WITH INFINITE TIME-VARYING DELAY[J].Journal of Mathematics,2002,22(4):391-396.
Authors:CENG Zhi-gang  FU Chao-jin  LIAO Xiao-xin
Abstract:This paper studies the globally exponential stability of the neural network with infinite time varying delay.Assuming that the input output neuron activation functions are bounded and satisfy the global Lipschitz condition,some sufficient conditions of the globally exponential stability of unique equilibrium of the neural network are derived.And this paper improves the results of some existed literatures without time delay.
Keywords:infinite time  varying delay  neural network  exponential stability
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