Estimates of equilibrium points and global asymptotic stability of Cohen-Grossberg neural networks with delays

被引:1
|
作者
Qiu, Fang [1 ,2 ]
Cui, Baotong [1 ]
机构
[1] Jiangnan Univ, Coll Commun & Control Engn, Wuxi 214122, Jiangsu, Peoples R China
[2] Binzhou Univ, Dept Math, Binzhou 256603, Shandong, Peoples R China
关键词
Cohen-Grossberg neural network; global asymptotic stability; distributed delay; EXPONENTIAL STABILITY; ROBUST STABILITY; DYNAMICS; CRITERIA;
D O I
10.1080/00207720903042913
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article studies a class of Cohen-Grossberg neural networks (CGNNs) with variable and distributed delays. Some novel conditions guaranteeing the existence, uniqueness and the estimated location of the equilibrium points are obtained. Using these results, the global asymptotic stability of the CGNNs can be derived without demanding the boundedness and the globally Lipschitz condition of the activation functions. Two numerical examples are demonstrated to verify the theoretical results.
引用
收藏
页码:1319 / 1328
页数:10
相关论文
共 50 条
  • [1] Harmless delays for global asymptotic stability of Cohen-Grossberg neural networks
    Tu, FH
    Liao, XF
    CHAOS SOLITONS & FRACTALS, 2005, 26 (03) : 927 - 933
  • [2] A Criterion for Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Delays
    Liang, Xinyuan
    Cheng, Kefei
    Liu, Qun
    Wang, Zhengxia
    2008 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, 2008, : 413 - +
  • [3] On Global Asymptotic Stability of Cohen-Grossberg Neural Networks With Variable Delays
    Chen, Wu-Hua
    Zheng, Wei Xing
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (10) : 3145 - 3159
  • [4] Global Asymptotic Stability Analysis of Cohen-Grossberg Neural Networks With Delays
    Zhan, Cong
    Chen, Shihua
    2014 10TH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION (ICNC), 2014, : 36 - 40
  • [5] Global asymptotic stability of Cohen-Grossberg neural networks with constant and variable delays
    Wu, Wei
    Cui, Bao Tong
    Huang, Min
    CHAOS SOLITONS & FRACTALS, 2007, 33 (04) : 1355 - 1361
  • [6] Global asymptotic stability of Cohen-Grossberg neural networks with multiple discrete delays
    Wan, Anhua
    Mao, Weihua
    Qiao, Hong
    Zhang, Bo
    ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, PROCEEDINGS: WITH ASPECTS OF ARTIFICIAL INTELLIGENCE, 2007, 4682 : 47 - 58
  • [7] Global attraction and stability for Cohen-Grossberg neural networks with delays
    Lu, Kening
    Xu, Daoyi
    Yang, Zhichun
    NEURAL NETWORKS, 2006, 19 (10) : 1538 - 1549
  • [8] Global asymptotic stability of delayed Cohen-Grossberg neural networks
    Chen, Y
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (02): : 351 - 357
  • [9] Global Asymptotic Stability and Robust Stability of a Class of Cohen-Grossberg Neural Networks With Mixed Delays
    Zhang, Huaguang
    Wang, Zhanshan
    Liu, Derong
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2009, 56 (03) : 616 - 629
  • [10] Global stability of Cohen-Grossberg neural networks with distributed delays
    Zhao, Weirui
    Zhang, Huanshui
    NEURAL INFORMATION PROCESSING, PT 1, PROCEEDINGS, 2006, 4232 : 580 - 590