New results of global robust exponential stability of neural networks with delays

被引:16
|
作者
Zhao, Weirui [1 ]
Zhu, Qing [1 ]
机构
[1] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China
关键词
Neural networks; Delays; Global robust stability; LMI-BASED CRITERIA; CONSTANT;
D O I
10.1016/j.nonrwa.2009.01.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the global robust exponential stability of interval neural networks with delays is investigated. Employing homeomorphism techniques and Lyapunov functions, we establish some sufficient conditions for the existence, uniqueness, and global robust exponential stability of the equilibrium point for delayed neural networks. It is shown that the obtained results improve and generalize the previously published results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1190 / 1197
页数:8
相关论文
共 50 条
  • [41] Further analysis on global robust exponential stability of neural networks with time-varying delays
    Shao, Jin-Liang
    Huang, Ting-Zhu
    Wang, Xiao-Ping
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (03) : 1117 - 1124
  • [42] Global exponential robust stability of reaction–diffusion interval neural networks with continuously distributed delays
    Yonggui Kao
    Cunchen Gao
    Wei Han
    Neural Computing and Applications, 2010, 19 : 867 - 873
  • [43] Global exponential stability of interval neural networks with variable delays
    Zhang, Jiye
    APPLIED MATHEMATICS LETTERS, 2006, 19 (11) : 1222 - 1227
  • [44] Global exponential stability of a class of Hopfield neural networks with delays
    Wei Liu
    Chaojin Fu
    Hongchang Hu
    Neural Computing and Applications, 2011, 20 : 1205 - 1209
  • [45] Global exponential stability of BAM neural networks with delays and impulses
    Li, YK
    CHAOS SOLITONS & FRACTALS, 2005, 24 (01) : 279 - 285
  • [46] Global exponential stability criteria for neural networks with probabilistic delays
    Mahmoud, M. S.
    Selim, S. Z.
    Shi, P.
    IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (11): : 2405 - 2415
  • [47] Global exponential stability of cellular neural networks with time delays
    刘坚
    裴冀南
    Journal of Chongqing University(English Edition), 2008, (02) : 137 - 140
  • [48] An improved result on global robust exponential stability of neural networks with time-varying delays
    Shao, Jinliang
    Huang, Tingzhu
    Journal of Computational Information Systems, 2012, 8 (23): : 9603 - 9610
  • [49] Global exponential stability for nonautonomous cellular neural networks with delays
    Zhang, Q
    Wei, XP
    Xu, J
    PHYSICS LETTERS A, 2006, 351 (03) : 153 - 160
  • [50] Global exponential stability of a class of neural networks with unbounded delays
    Tran Thi Loan
    Duong Anh Tuan
    UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (10) : 1633 - 1649