Exponential Stability of Impulsive Hopfield Neural Networks with Time Delays

被引：0
|
作者：
Xing, Tingyan [1 ]
Shi, Muyao [1 ]
Jiang, Wenjie [1 ]
Zhang, Nan [1 ]
Wang, Tuo [1 ]
机构：
[1] China Univ Geosci, Sch Informat Engn, Beijing 100083, Peoples R China
来源：
ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS | 2009年 / 5551卷
关键词：
GLOBAL ASYMPTOTIC STABILITY;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper considers the problems of global exponential stability and exponential convergence, rate for impulsive Hopfield neural networks with time delays. By using the method of Lyapunov functions M-matrix theory and inequality technique! some sufficient conditions for ensuring global exponential stability of these networks are derived.;and the estimation for exponential convergence rate index is also obtained. As an illustration, an numerical example is worked out to show the effectiveness of Hie obtained results.
引用
收藏
页码：503 / 511
页数：9
相关论文
共 50 条
  • [1] Global exponential stability of impulsive Hopfield neural networks with delays
    Tang, Qing
    Liu, Anping
    Hao, Zutao
    Xia, Li
    [J]. PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2, 2009, : 273 - 276
  • [2] Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays
    Fu, Xilin
    Li, Xiaodi
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (01) : 187 - 199
  • [3] Exponential stability of Hopfield neural networks with time-varying delays via impulsive control
    Li, Xiaodi
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (13) : 1596 - 1604
  • [4] Global exponential stability of Hopfield neural networks with variable delays and impulsive effects
    Yang Zhi-chun
    Xu Dao-yi
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 27 (11) : 1517 - 1522
  • [5] GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS
    杨志春
    徐道义
    [J]. Applied Mathematics and Mechanics(English Edition), 2006, (11) : 1517 - 1522
  • [6] Global exponential stability of Hopfield neural networks with variable delays and impulsive effects
    Zhi-chun Yang
    Dao-yi Xu
    [J]. Applied Mathematics and Mechanics, 2006, 27 : 1517 - 1522
  • [7] Exponential stability of neural stochastic Hopfield neural networks with time varying delays
    Liu, Linna
    Deng, Feiqi
    [J]. 2019 3RD IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (IEEE CCTA 2019), 2019, : 660 - 665
  • [8] Global exponential stability of discrete time Hopfield neural networks with delays
    Zhang, Q
    Liu, WB
    Wei, XP
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 193 - 198
  • [9] Exponential stability of hopfield neural networks with time-varying delays
    Zhao, XQ
    Zhou, L
    Lia, XX
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, : 374 - 383
  • [10] Global exponential stability of impulsive high order hopfield type neural networks with delays
    Wang, Q
    Liu, XZ
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 2 : 825 - 830
12345