An analysis on global robust exponential stability of neural networks with time-varying delays

被引:10
|
作者
Shao, Jin-Liang [1 ]
Huang, Ting-Zhu [1 ]
Zhou, Sheng [1 ]
机构
[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Sichuan, Peoples R China
关键词
Interval neural networks; Time-varying delays; Global robust exponential stability; M-matrix; VARIABLE DELAYS; ASYMPTOTIC STABILITY; CRITERIA;
D O I
10.1016/j.neucom.2008.11.023
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The paper presents a new sufficient condition for the existence, uniqueness and global robust exponential stability of the equilibrium point for interval neural networks with time-varying delays. Theoretical analysis indicates that the obtained result improves and generalizes some previous results derived in the literatures. It is also shown by a numerical example that a recently reported result is invalid because the proof of it is not always right. Finally, a numerical example and the corresponding simulation are given to show the effectiveness of the obtained result. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:1993 / 1998
页数:6
相关论文
共 50 条
  • [1] Global robust exponential stability analysis for interval neural networks with time-varying delays
    Li, CD
    Liao, XF
    Zhang, R
    Prasad, A
    CHAOS SOLITONS & FRACTALS, 2005, 25 (03) : 751 - 757
  • [2] 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
  • [3] Global Asymptotic Robust Stability and Global Exponential Robust Stability of Neural Networks with Time-Varying Delays
    Jin-Liang Shao
    Ting-Zhu Huang
    Sheng Zhou
    Neural Processing Letters, 2009, 30 : 229 - 241
  • [4] Global Asymptotic Robust Stability and Global Exponential Robust Stability of Neural Networks with Time-Varying Delays
    Shao, Jin-Liang
    Huang, Ting-Zhu
    Zhou, Sheng
    NEURAL PROCESSING LETTERS, 2009, 30 (03) : 229 - 241
  • [5] Global robust exponential stability analysis for stochastic interval neural networks with time-varying delays
    Su, Weiwei
    Chen, Yiming
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) : 2293 - 2300
  • [6] Global robust exponential stability of interval cellular neural networks with time-varying delays
    Wu, Li-Gang
    Wang, Chang-Hong
    Zeng, Qing-Shuang
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2006, 23 (05): : 724 - 729
  • [8] A new result on global exponential robust stability of neural networks with time-varying delays
    Shao J.
    Huang T.
    Journal of Control Theory and Applications, 2009, 7 (3): : 315 - 320
  • [9] 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
  • [10] Global exponential stability of cellular neural networks with time-varying delays
    Zhang, Q
    Zhou, DS
    Wang, HJ
    Wei, XP
    ADVANCES IN NATURAL COMPUTATION, PT 1, PROCEEDINGS, 2005, 3610 : 405 - 410