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
  • [31] Exponential stability of Cohen-Grossberg neural networks with delays and impulses
    Tang, Qing
    Liu, Anping
    Li, Huijuan
    Zou, Min
    2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE, VOL II, PROCEEDINGS, 2009, : 535 - +
  • [32] Robust global exponential stability of Cohen-Grossberg neural networks with time delays
    Chen, TP
    Rong, LB
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01): : 203 - 206
  • [33] Global exponential stability of fuzzy Cohen-Grossberg neural networks with variable delays
    Zhang, Jiye
    Zhang, Keyue
    Ren, Dianbo
    ADVANCES IN NEURAL NETWORKS - ISNN 2007, PT 1, PROCEEDINGS, 2007, 4491 : 890 - +
  • [34] Global Asymptotic Stability of Reaction-Diffusion Cohen-Grossberg Neural Networks With Continuously Distributed Delays
    Wang, Zhanshan
    Zhang, Huaguang
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01): : 39 - 49
  • [35] Exponential stability of Cohen-Grossberg neural networks with delays and impulses
    Tang, Qing
    Liu, Anping
    Li, Huijuan
    Liu, Ting
    ICCSSE 2009: PROCEEDINGS OF 2009 4TH INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE & EDUCATION, 2009, : 144 - 147
  • [36] Convergence dynamics of Cohen-Grossberg neural networks with continuously distributed delays
    Meng, Yimin
    Guo, Shangjiang
    Huang, Lihong
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (01) : 188 - 199
  • [37] Existence and Global Exponential Stability of Periodic Solution for Impulsive Cohen-Grossberg Neural Networks with Bounded and Unbounded Delays
    Yao Xiaojie
    Qin Fajin
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2304 - 2308
  • [38] Global stability analysis of impulsive BAM type Cohen-Grossberg neural networks with delays
    Yang, Fengjian
    Zhang, Chaolong
    Wu, Dongqing
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) : 932 - 940
  • [39] Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays
    Song, Qiankun
    Zhang, Jiye
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (02) : 500 - 510
  • [40] Stability of Cohen-Grossberg neural networks with unbounded distributed delays
    Huang, Tingwen
    Li, Chuandong
    Chen, Goong
    CHAOS SOLITONS & FRACTALS, 2007, 34 (03) : 992 - 996
12345