Global μ-stability of delayed neural networks with unbounded time-varying delays

被引：125
|
作者：
Chen, Tianping [1 ]
Wang, Lili [1 ]
机构：
[1] Fudan Univ, Inst Math, Key Lab Nonlinear Sci, Chinese Minist Educ, Shanghai 200433, Peoples R China
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS | 2007年 / 18卷 / 06期
基金：
中国国家自然科学基金;
关键词：
mu-stability; recurrently connected Neural Networks (NNs); unbounded time-varying delays;
D O I：
10.1109/TNN.2007.902716
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this letter, dynamical systems with unbounded time-varying delays are investigated. We address the following question: To what extent the time-varying delays can exist while the system is stable? Moreover, a new concept of stability, global it mu-stability, is proposed. Under mild conditions, we prove that the dynamical systems with unbounded time-varying delays are globally mu-stable.
引用
收藏
页码：1836 / 1840
页数：5
相关论文
共 50 条
  • [21] Global exponential stability of cellular neural networks with time-varying delays
    Luo, YP
    Deng, FQ
    Yao, HZ
    2004 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2004, : 638 - 642
  • [22] Global exponential stability of generalized neural networks with time-varying delays
    Wang, Gang
    Zhang, Huaguang
    Liu, Derong
    2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS, 2006, : 743 - 746
  • [23] Global Asymptotic Stability of Stochastic Neural Networks with Time-Varying Delays
    Wang, Zhengxia
    Wang, Dacheng
    Liang, Xinyuan
    Wu, Haixia
    2008 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2008, : 91 - +
  • [24] Global Asymptotic Stability Analysis of Neural Networks with Time-Varying Delays
    Zhang Qiang
    Xiaopeng Wei
    Jin Xu
    Neural Processing Letters, 2005, 21 : 61 - 71
  • [25] 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
  • [26] Global asymptotic stability of recurrent neural networks with time-varying delays
    Jiang, HJ
    Cao, JD
    PROCEEDINGS OF THE 2005 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS AND BRAIN, VOLS 1-3, 2005, : 160 - 164
  • [27] On global asymptotic stability of recurrent neural networks with time-varying delays
    Huang, H
    Cao, JD
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (01) : 143 - 154
  • [28] Global asymptotic stability analysis of neural networks with time-varying delays
    Zhang, Q
    Wei, XP
    Xu, J
    NEURAL PROCESSING LETTERS, 2005, 21 (01) : 61 - 71
  • [29] Global asymptotical stability for neural networks with multiple time-varying delays
    Qiu, Jianlong
    Cao, Jinde
    Cheng, Zunshui
    ADVANCES IN NEURAL NETWORKS - ISNN 2007, PT 1, PROCEEDINGS, 2007, 4491 : 1025 - +
  • [30] Global asymptotic stability for a class of neural networks with time-varying delays
    Guo, Yingxin
    Xu, Chao
    2014 IEEE CHINESE GUIDANCE, NAVIGATION AND CONTROL CONFERENCE (CGNCC), 2014, : 72 - 76
12345