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
  • [31] Global robust exponential stability analysis for interval recurrent neural networks
    Xu, SY
    Lam, J
    Ho, DWC
    Zou, Y
    PHYSICS LETTERS A, 2004, 325 (02) : 124 - 133
  • [32] Global asymptotic and robust stability of recurrent neural networks with time delays
    Cao, JD
    Wang, J
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) : 417 - 426
  • [33] On the global stability of delayed neural networks
    Zhang, Q
    Ma, RN
    Chao, W
    Jin, X
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (05) : 794 - 797
  • [34] Delay-Dependent Global Exponential Stability for Delayed Recurrent Neural Networks
    Sheng, Yin
    Shen, Yi
    Zhu, Mingfu
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (12) : 2974 - 2984
  • [35] Global Stability Criterion for Delayed Complex-Valued Recurrent Neural Networks
    Zhang, Ziye
    Lin, Chong
    Chen, Bing
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (09) : 1704 - 1708
  • [36] New algebraic conditions for global exponential stability of delayed recurrent neural networks
    Li, CD
    Liao, XF
    NEUROCOMPUTING, 2005, 64 : 319 - 333
  • [37] Improved global robust stability for interval-delayed hopfield neural networks
    Singh, Vimal
    NEURAL PROCESSING LETTERS, 2008, 27 (03) : 257 - 265
  • [38] Global robust stability of uncertain delayed neural networks with discontinuous neuron activation
    Xiao, Jian
    Zeng, Zhigang
    NEURAL COMPUTING & APPLICATIONS, 2014, 24 (05): : 1191 - 1198
  • [39] Improved global robust asymptotic stability criteria for delayed cellular neural networks
    Xu, SY
    Lam, J
    Ho, DWC
    Zou, Y
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2005, 35 (06): : 1317 - 1321
  • [40] Global robust stability of uncertain delayed neural networks with discontinuous neuron activation
    Jian Xiao
    Zhigang Zeng
    Neural Computing and Applications, 2014, 24 : 1191 - 1198