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
    Zhi-chun Yang
    Dao-yi Xu
    Applied Mathematics and Mechanics, 2006, 27 : 1517 - 1522
  • [2] GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS
    杨志春
    徐道义
    Applied Mathematics and Mechanics(English Edition), 2006, (11) : 1517 - 1522
  • [3] 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
  • [4] Exponential Stability of a Class of Impulsive Neural Networks with Variable Delays
    Yang, Jianfu
    Yang, Fengjian
    Tao, Jicheng
    Li, Wei
    Wu, Dongqing
    2009 IEEE INTERNATIONAL CONFERENCE ON AUTOMATION AND LOGISTICS ( ICAL 2009), VOLS 1-3, 2009, : 1370 - +
  • [5] 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
  • [6] Globally Exponential Stability of a Class of Impulsive Neural Networks with Variable Delays
    Yang, Jianfu
    Yang, Fengjian
    Zhang, Chaolong
    Wu, Dongqing
    Gao, Chuanxiang
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 3166 - 3170
  • [7] The exponential asymptotic stability for Hopfield neural networks with delays and impulses
    Zhang, Qiang
    Wei, Xiaopeng
    Xu, Jin
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 795 - 798
  • [8] Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
    王林山
    徐道义
    ScienceinChina(SeriesF:InformationSciences), 2003, (06) : 466 - 474
  • [9] Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
    Linshan Wang
    Daoyi Xu
    Science in China Series F: Information Sciences, 2003, 46 : 466 - 474
  • [10] Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
    Wang, LS
    Xu, DY
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2003, 46 (06): : 466 - 474
12345