Stability of Impulsive Cohen-Grossberg Neural Networks with Delays

被引：0
|
作者：
Yang, Jianfu [1 ]
Ding, Wensi [2 ]
Yang, Fengjian [1 ]
Liang, Lishi [3 ]
Hong, Qun [4 ]
机构：
[1] Zhongkai Univ Agr & Engn, Dept Computat Sci, Guangzhou 510225, Guangdong, Peoples R China
[2] South China Univ Technol, Sch Mach & Automat Engn, Guangzhou 510640, Peoples R China
[3] 5th Mid Sch Guangzhou City, Guangzhou 510220, Guangdong, Peoples R China
[4] Haizhu Dist Chigang Primary Sch Guangzhou City, Guangzhou 510310, Guangdong, Peoples R China
来源：
ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS | 2010年 / 6063卷
基金：
中国国家自然科学基金;
关键词：
global exponential stability; Lyapunov function; GLOBAL EXPONENTIAL 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：
In this paper, with assuming global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, Young inequality and Halanay differential inequality with delay, the global exponential stability of the equilibrium point for a class of Cohen-Grossberg neural networks with time-varying delays and impulses is investigated, the sufficient conditions for globally exponential stability of neural networks are obtained.
引用
收藏
页码：554 / +
页数：2
相关论文
共 50 条
  • [1] Global exponential stability of impulsive Cohen-Grossberg neural networks with delays
    Luo, Wenpin
    Zhong, Shouming
    Yang, Jun
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1084 - 1091
  • [2] 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
  • [3] 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
  • [4] 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
  • [5] Global exponential stability analysis of impulsive Cohen-Grossberg neural networks with delays
    Luo, Wenpin
    Zhong, Shouming
    Liu, Xinzhi
    Yan, Jun
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 1561 - 1564
  • [6] Exponential stability of impulsive Cohen-Grossberg networks with distributed delays
    Huang, Zhenkun
    Wang, Xinghua
    Xia, Yonghui
    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2008, 36 (03) : 345 - 365
  • [7] Exponential stability of Cohen-Grossberg neural networks with delays
    Zhang, W
    Yu, JQ
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 149 - 155
  • [8] Stability of Cohen-Grossberg neural networks with distributed delays
    Wang, L
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 160 (01) : 93 - 110
  • [9] Exponential stability of Cohen-Grossberg neural networks with delays
    Liao, Xiaofeng
    Yang, Jiyun
    Guo, Songtao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (09) : 1767 - 1775
  • [10] Analysis of stability for impulsive stochastic fuzzy Cohen-Grossberg neural networks with mixed delays
    1600, World Scientific and Engineering Academy and Society, Ag. Ioannou Theologou 17-23, Zographou, Athens, 15773, Greece (12):
12345