Global exponential stability of impulsive Cohen-Grossberg neural networks with continuously distributed delays

被引：16
|
作者：
Ping, Zhao Wu [1 ]
Lu, Jun Guo [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 01期
关键词：
TIME-VARYING DELAYS; ASYMPTOTIC STABILITY; PERIODIC-SOLUTIONS; HARMLESS DELAYS; EXISTENCE;
D O I：
10.1016/j.chaos.2007.11.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, several classes of impulsive Cohen-Grossberg neural networks with continuously distributed delays are considered. Global exponential stability and robust global exponential stability of the equilibrium solution are investigated by using Lyapunov function and integro-differential inequality. Moreover, sufficient conditions are also given to guarantee the existence of (omega) over bar -periodic solution and that all other solutions are convergent to it globally exponentially. Finally, two examples are given to demonstrate the effectiveness of our results in this paper. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：164 / 174
页数：11
相关论文
共 50 条
  • [41] Global attraction and stability for Cohen-Grossberg neural networks with delays
    Lu, Kening
    Xu, Daoyi
    Yang, Zhichun
    NEURAL NETWORKS, 2006, 19 (10) : 1538 - 1549
  • [42] Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
    Li, Xiaodi
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) : 292 - 307
  • [43] Uniform stability of impulsive Cohen-Grossberg neural networks with variable delays
    Yang, Fengjian
    Zhang, Chaolong
    Wu, Dongqing
    Yang, Hanfu
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 3269 - 3274
  • [44] Stability of Cohen-Grossberg Neural Networks with Impulsive and Mixed Time Delays
    Zhao, Zhenjiang
    Song, Qiankun
    INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND NETWORK SECURITY, 2008, 8 (02): : 94 - 101
  • [45] Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
    Wang, Xiaohu
    Guo, Qingyi
    Xu, Daoyi
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (05) : 1698 - 1710
  • [46] Global exponential stability of Cohen-Grossberg neural networks with time-varying delays
    Liu, J
    CHAOS SOLITONS & FRACTALS, 2005, 26 (03) : 935 - 945
  • [47] GLOBAL EXPONENTIAL STABILITY OF COHEN-GROSSBERG NEURAL NETWORKS WITH TIME-VARYING DELAYS
    Wang, Xiaohui
    Li, Xumeng
    Zhou, Wenxin
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (40): : 126 - 140
  • [48] Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays
    Yang, Zhichun
    Xu, Daoyi
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (01) : 63 - 78
  • [49] Existence and global exponential stability of periodic solution for Cohen-Grossberg neural networks with delays
    Yuan, Zhaohui
    Hu, Dewen
    Huang, Lihong
    Dong, Guohua
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (04) : 572 - 590
  • [50] Globally exponential stability of generalized Cohen-Grossberg neural networks with delays
    Hwang, CC
    Cheng, CJ
    Liao, TL
    PHYSICS LETTERS A, 2003, 319 (1-2) : 157 - 166
12345