Global robust stability of delayed recurrent neural networks

被引:240
|
作者
Cao, JD [1 ]
Huang, DS
Qu, YZ
机构
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Chinese Acad Sci, Inst Intelligent Machines, Hefei 230031, Anhui, Peoples R China
[3] SE Univ, Dept Comp Sci & Engn, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2004.04.002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is concerned with the global robust stability of a class of delayed interval recurrent neural networks which contain time-invariant uncertain parameters whose values are unknown but bounded in given compact sets. A new sufficient condition is presented for the existence, uniqueness, and global robust stability of equilibria for interval neural networks with time delays by constructing Lyapunov functional and using matrix-norm inequality. An error is corrected in an earlier publication, and an example is given to show the effectiveness of the obtained results. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:221 / 229
页数:9
相关论文
共 50 条
  • [1] Global robust exponential stability analysis for delayed recurrent neural networks
    Zhang, Zhizhou
    Zhang, Lingling
    She, Longhua
    Huang, Lihong
    2008 INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION, VOLS 1-4, 2008, : 499 - +
  • [2] Global robust stability of delayed neural networks
    Arik, S
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) : 156 - 160
  • [3] On the global robust stability of delayed neural networks
    Arik, S
    Tavsanoglu, V
    2002 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III, PROCEEDINGS, 2002, : 93 - 96
  • [4] Global exponential robust stability of delayed neural networks
    Li, XL
    Cao, JD
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (08): : 2925 - 2931
  • [5] Global robust exponential stability of delayed neural networks
    Wu, Wei
    Cui, Bao Tong
    CHAOS SOLITONS & FRACTALS, 2008, 35 (04) : 747 - 754
  • [6] Comments on "Global robust stability of delayed neural networks"
    Singh, V
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (01): : 214 - 215
  • [7] Global robust stability of interval delayed neural networks
    Singh, V.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (06): : 741 - 749
  • [8] Analysis of global asymptotic stability of delayed recurrent neural networks
    Li, Guanjun
    Xu, Jin
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 306 - 309
  • [9] Robust stability and robust periodicity of delayed recurrent neural networks with noise disturbance
    Li, Chunguang
    Liao, Xiaofeng
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (10) : 2265 - 2273
  • [10] Global robust stability of delayed neural networks: An LMI approach
    Singh, V
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (01): : 33 - 36