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GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS
作者姓名:杨志春  徐道义
作者单位:Mathematics College Chongqing Normal University,Chongqing 400047,P. R. China Yangtze Center of Mathematics,Sichuan University,Chengdu 610064,P. R. China,Yangtze Center of Mathematics,Sichuan University,Chengdu 610064,P. R. China
摘    要:A class of Hopfield neural network with time-varying delays and impulsive effects is concerned. By applying the piecewise continuous vector Lyapunov function some sufficient conditions were obtained to ensure the global exponential stability of impulsive delay neural networks. An example and its simulation are given to illustrate the effectiveness of the results.

关 键 词:神经系统网络  冲量  延迟  稳定性
收稿时间:2004-10-30
修稿时间:2006-07-26

Global exponential stability of Hopfield neural networks with variable delays and impulsive effects
Zhi-chun Yang,Dao-yi Xu.GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS[J].Applied Mathematics and Mechanics(English Edition),2006,27(11):1517-1522.
Authors:Zhi-chun Yang  Dao-yi Xu
Institution:1. Mathematics College, Chongqing Normal University, Chongqing 400047, P. R. China;Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China
2. Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China
Abstract:A class of Hopfield neural network with time-varying delays and impulsive effects is concerned. By applying the piecewise continuous vector Lyapunov function some sufficient conditions were obtained to ensure the global exponential stability of impulsive delay neural networks. An example and its simulation are given to illustrate the effectiveness of the results.
Keywords:neural networks  impulse  delay  stability
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