Exponential convergence of Cohen-Grossberg neural networks with continuously distributed leakage delays

被引:0
|
作者
Chen, Zhibin [1 ]
Gong, Shuhua [2 ]
机构
[1] Hunan Univ Technol, Sch Sci, Zhuzhou 412000, Hunan, Peoples R China
[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Cohen-Grossberg neural network; global exponential convergence; continuously distributed delay; leakage term; TIME-VARYING DELAYS; PERIODIC-SOLUTIONS; STABILITY; BAM; TERMS; EXISTENCE; CRITERIA;
D O I
10.1186/1029-242X-2014-48
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the global exponential convergence of Cohen-Grossberg neural networks with continuously distributed leakage delays. By using the Lyapunov functional method and differential inequality techniques, we propose a new approach to establishing some sufficient conditions ensuring that all solutions of the networks converge exponentially to the zero point. Our results complement some recent ones.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Exponential convergence of Cohen-Grossberg neural networks with continuously distributed leakage delays
    Zhibin Chen
    Shuhua Gong
    Journal of Inequalities and Applications, 2014
  • [2] 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
  • [3] Global exponential stability of impulsive Cohen-Grossberg neural networks with continuously distributed delays
    Ping, Zhao Wu
    Lu, Jun Guo
    CHAOS SOLITONS & FRACTALS, 2009, 41 (01) : 164 - 174
  • [4] Exponential stability of periodic solutions for Cohen-Grossberg neural networks with continuously distributed delays
    Kao, Yonggui
    Ming, Qinghe
    Gao, Cunchen
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007), 2007,
  • [5] Global exponential stability and periodic solutions Cohen-Grossberg neural networks with continuously distributed delays
    Sun, JH
    Wan, L
    PHYSICA D-NONLINEAR PHENOMENA, 2005, 208 (1-2) : 1 - 20
  • [6] Global exponential convergence of Cohen-Grossberg neural networks with time delays
    Lu, T
    Shen, RM
    Chung, FL
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06): : 1694 - 1696
  • [7] Global exponential stability of Cohen-Grossberg neural networks with distributed delays
    Wei Wu
    Bao Tong Cui
    Xu Yang Lou
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (9-10) : 868 - 873
  • [8] Global exponential stability of Cohen-Grossberg neural networks with distributed delays
    Cui, Bao Tong
    Wu, Wei
    NEUROCOMPUTING, 2008, 72 (1-3) : 386 - 391
  • [9] Global exponential stability of Cohen-Grossberg neural networks with time-varying delays and continuously distributed delays
    Shen, Y
    Jiang, MH
    Liao, XX
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 156 - 161
  • [10] Exponential Synchronization of Cohen-Grossberg Neural Networks With Delays
    Huang, Juncao
    Wu, Xuemei
    Tu, Zhengwen
    IEEE ACCESS, 2023, 11 : 49992 - 49999