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
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
  • [41] Global exponential stability of reaction-diffusion Hopfield neural networks with distributed delays
    Tang, ZH
    Luo, YP
    Deng, FQ
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 174 - 180
  • [42] Global Exponential Stability and Existence of Periodic Solution of Hopfield-type Neural Networks with Distributed Delays and Impulsive On Time Scales
    Zhang, Chaolong
    Wang, Qiru
    Yang, Fengjian
    Li, Wei
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 943 - 947
  • [43] 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
  • [44] Global asymptotic stability and global exponential stability of Hopfield neural networks
    Zhong, SM
    Yang, JX
    Yan, KY
    Ll, HP
    WAVELET ANALYSIS AND ITS APPLICATIONS, AND ACTIVE MEDIA TECHNOLOGY, VOLS 1 AND 2, 2004, : 1081 - 1087
  • [45] Global Exponential Stability of Fuzzy Cellular Neural Networks with Variable Delays and Distributed Delays
    Wu, Yandong
    Zhang, Qianhong
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 695 - 699
  • [46] GLOBAL STABILITY AND LOCAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH DELAYS
    YE, H
    MICHEL, AN
    WANG, KN
    PHYSICAL REVIEW E, 1994, 50 (05) : 4206 - 4213
  • [47] Global exponential stability of delayed Hopfield neural networks
    Chen, TP
    NEURAL NETWORKS, 2001, 14 (08) : 977 - 980
  • [48] Impulsive Effects and Stability Analysis on Memristive Neural Networks With Variable Delays
    Duan, Shukai
    Wang, Huamin
    Wang, Lidan
    Huang, Tingwen
    Li, Chuandong
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (02) : 476 - 481
  • [49] Global Exponential Stability of Impulsive Neural Networks With Variable Delay: An LMI Approach
    Chen, Wu-Hua
    Zheng, Wei Xing
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2009, 56 (06) : 1248 - 1259
  • [50] Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks
    Chen, Wei
    Gong, Shuhua
    ABSTRACT AND APPLIED ANALYSIS, 2014,