Exponential stability of Hopfield neural networks with time-varying delays via impulsive control

被引：10
|
作者：
Li, Xiaodi [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 13期
关键词：
Hopfield neural networks; time-varying delays; Lyapunov method; impulsive control; ASYMPTOTIC STABILITY; GLOBAL STABILITY; STABILIZATION; SYSTEMS;
D O I：
10.1002/mma.1278
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by utilizing the Lyapunov functionals, the analysis method and the impulsive control, we analyze the exponential stability of Hopfield neural networks with time-varying delays. A new criterion on the exponential stabilization by impulses and the exponential stabilization by periodic impulses is gained. We can see that impulses do contribution to the system's exponential stability. Two examples are given to illustrate the effectiveness of our result. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码：1596 / 1604
页数：9
相关论文
共 50 条
  • [1] 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
  • [2] Exponential stability of impulsive neural networks with time-varying delays
    Huang, Zai-Tang
    Yang, Qi-Gui
    Luo, Xiao-shu
    [J]. CHAOS SOLITONS & FRACTALS, 2008, 35 (04) : 770 - 780
  • [3] Exponential Stability Analysis for Impulsive Neural Networks with Time-varying Delays
    Cai, Shui-Ming
    Xu, Feng-Dan
    Zheng, Wei-Xing
    Liu, Zeng-Rong
    [J]. OPTIMIZATION AND SYSTEMS BIOLOGY, 2009, 11 : 81 - +
  • [4] STABILITY OF IMPULSIVE HOPFIELD NEURAL NETWORKS WITH MARKOVIAN SWITCHING AND TIME-VARYING DELAYS
    Raja, Ramachandran
    Sakthivel, Rathinasamy
    Anthoni, Selvaraj Marshal
    Kim, Hyunsoo
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (01) : 127 - 135
  • [5] Exponential Stability of Impulsive Hopfield Neural Networks with Time Delays
    Xing, Tingyan
    Shi, Muyao
    Jiang, Wenjie
    Zhang, Nan
    Wang, Tuo
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 503 - 511
  • [6] Exponential stability of stochastic interval Hopfield neural networks with time-varying delays
    Li, Xiaolin
    Cao, Jinde
    [J]. NEURAL NETWORK WORLD, 2007, 17 (01) : 31 - 40
  • [7] Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays
    Liu, XZ
    Teo, KL
    Xu, BJ
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06): : 1329 - 1339
  • [8] Exponential stability of periodic neural networks with impulsive effects and time-varying delays
    Shao, Yuanfu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (16) : 6893 - 6899
  • [9] On global exponential stability for impulsive cellular neural networks with time-varying delays
    Stamova, Ivanka M.
    Ilarionov, Rajcho
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (11) : 3508 - 3515
  • [10] Global exponential stability for impulsive cellular neural networks with time-varying delays
    Ahmad, Shair
    Stamova, Ivanka M.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (03) : 786 - 795
12345