Global exponential stability of Hopfield neural networks with variable delays and impulsive effects

被引：9
|
作者：
Yang Zhi-chun [1 ]
Xu Dao-yi
机构：
[1] Chongqing Normal Univ, Math Coll, Chongqing 40047, Peoples R China
[2] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 11期
基金：
中国国家自然科学基金;
关键词：
neural networks; impulse; delay; stability;
D O I：
10.1007/s10483-006-1109-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：1517 / 1522
页数：6
相关论文
共 50 条
  • [1] GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS
    杨志春
    徐道义
    AppliedMathematicsandMechanics(EnglishEdition), 2006, (11) : 1517 - 1522
  • [2] Global exponential stability of Hopfield neural networks with variable delays and impulsive effects
    Zhi-chun Yang
    Dao-yi Xu
    Applied Mathematics and Mechanics, 2006, 27 : 1517 - 1522
  • [3] Global exponential stability of impulsive Hopfield neural networks with delays
    Tang, Qing
    Liu, Anping
    Hao, Zutao
    Xia, Li
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2, 2009, : 273 - 276
  • [4] Global exponential stability of Hopfield neural networks with impulsive effects
    Yang, ZC
    Pei, PA
    Xu, DY
    Huang, YM
    Xiang, L
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 187 - 192
  • [5] Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays
    Fu, Xilin
    Li, Xiaodi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (01) : 187 - 199
  • [6] Exponential Stability of Impulsive Hopfield Neural Networks with Time Delays
    Xing, Tingyan
    Shi, Muyao
    Jiang, Wenjie
    Zhang, Nan
    Wang, Tuo
    ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 503 - 511
  • [7] Global exponential stability of impulsive high order hopfield type neural networks with delays
    Wang, Q
    Liu, XZ
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 2 : 825 - 830
  • [8] On global exponential stability of discrete-time Hopfield neural networks with variable delays
    Zhang, Qiang
    Wei, Xiaopeng
    Xu, Jin
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2007, 2007
  • [9] Global exponential stability of impulsive high-order Hopfield type neural networks with delays
    Xu, Bingji
    Liu, Xiang
    Teo, Kok Lay
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (11-12) : 1959 - 1967
  • [10] Global exponential stability of a class of Hopfield neural networks with delays
    Liu, Wei
    Fu, Chaojin
    Hu, Hongchang
    NEURAL COMPUTING & APPLICATIONS, 2011, 20 (08): : 1205 - 1209
12345