Global robust asymptotical stability of multi-delayed interval neural networks: an LMI approach

被引:77
|
作者
Li, CD [1 ]
Liao, XF
Zhang, RN
机构
[1] Chongqing Univ, Dept Comp Sci & Engn, Chongqing 400030, Peoples R China
[2] Chongqing Univ, Coll Business Adm, Chongqing 400030, Peoples R China
基金
中国国家自然科学基金;
关键词
robust stability; interval delayed neural networks (IDNN); Lyapunov functional; linear matrix inequality (LMI); multiple time-varying delays;
D O I
10.1016/j.physleta.2004.06.053
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) technique, some delay-dependent criteria for interval neural networks (IDNN) with multiple time-varying delays are derived to guarantee global robust asymptotic stability. The main results are generalizations of some recent results reported in the literature. Numerical example is also given to show the effectiveness of our results. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:452 / 462
页数:11
相关论文
共 50 条
  • [41] Stability analysis of stochastic delayed cellular neural networks by LMI approach
    Zhu, WL
    Hu, J
    CHAOS SOLITONS & FRACTALS, 2006, 29 (01) : 171 - 174
  • [42] Global Robust Stability Criteria for Interval Delayed Full-Range Cellular Neural Networks
    Di Marco, Mauro
    Grazzini, Massimo
    Pancioni, Luca
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (04): : 666 - 671
  • [43] Globally asymptotical stability analysis of BAM neural networks with time delays via LMI approach
    Liu, Mei-Qin
    Yan, Gang-Feng
    Zhang, Sen-Lin
    Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology, 2004, 26 (08): : 1237 - 1244
  • [44] Comments on "A generalized LMI-Based approach to the global asymptotic stability of delayed cellular neural networks"
    Lu, HT
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (03): : 778 - 779
  • [45] Global Asymptotical Stability of Delayed Impulsive Neural Networks without Lipschitz Neuron Activations
    Wu, Ailong
    Zhang, Jine
    Fu, Chaojin
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, 3 (05): : 806 - 818
  • [46] Global robust exponential stability of interval neural networks with delays
    Sun, CY
    Feng, CB
    NEURAL PROCESSING LETTERS, 2003, 17 (01) : 107 - 115
  • [47] Global robust exponential stability for interval neural networks with delay
    Cui, Shihua
    Zhao, Tao
    Guo, Jie
    CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1567 - 1576
  • [48] Global Robust Exponential Stability of Interval Neural Networks with Delays
    Changyin Sun
    Chun-Bo Feng
    Neural Processing Letters, 2003, 17 : 107 - 115
  • [49] On global robust stability of interval Hopfield neural networks with delay
    Singh, Vimal
    CHAOS SOLITONS & FRACTALS, 2007, 33 (04) : 1183 - 1188
  • [50] On global robust exponential stability of interval neural networks with delays
    Sun, CY
    Song, SJ
    Feng, CB
    PROCEEDING OF THE 2002 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-3, 2002, : 2738 - 2742