Global exponential convergence analysis of delayed neural networks with time-varying delays

被引：50
|
作者：
Zhang, Q [1 ]
Wei, XP
Xu, J
机构：
[1] Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China
[2] Dalian Univ Technol, Adv Design Technol Ctr, Dalian 116622, Peoples R China
来源：
PHYSICS LETTERS A | 2003年 / 318卷 / 06期
关键词：
global exponential stability; time-varying delays; delay differential inequality; Lyapunov functionals;
D O I：
10.1016/j.physleta.2003.09.062
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Some new sufficient conditions for the global exponential stability and estimations of bound on the rate of exponential convergence of the neural networks with time-varying delays are obtained by means of an approach based on delay differential inequality. The method, which does not make use of any Lyapunov functionals, is simple and valid for the stability analysis of neural networks with time-varying delays. Some previously established results in the literature are shown to be special cases of the presented results. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：537 / 544
页数：8
相关论文
共 50 条
  • [1] Global exponential convergence of periodic neural networks with time-varying delays
    Wu, Ailong
    Zeng, Zhigang
    Zhang, Jine
    [J]. NEUROCOMPUTING, 2012, 78 (01) : 149 - 154
  • [2] On global exponential stability of delayed cellular neural networks with time-varying delays
    Zhang, Q
    Wei, XP
    Xu, J
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (02) : 679 - 686
  • [3] Global exponential convergence of time-varying delayed neural networks with high gain
    Zhang, Lei
    Yi, Zhang
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2007, PT 1, PROCEEDINGS, 2007, 4491 : 1001 - +
  • [4] An analysis on global robust exponential stability of neural networks with time-varying delays
    Shao, Jin-Liang
    Huang, Ting-Zhu
    Zhou, Sheng
    [J]. NEUROCOMPUTING, 2009, 72 (7-9) : 1993 - 1998
  • [5] Global convergence analysis of impulsive inertial neural networks with time-varying delays
    Wan, Peng
    Jian, Jigui
    [J]. NEUROCOMPUTING, 2017, 245 : 68 - 76
  • [6] Exponential convergence of delayed cellular neural networks with time-varying coefficients
    Tang, Yi
    [J]. APPLIED MATHEMATICS LETTERS, 2008, 21 (08) : 872 - 876
  • [7] Global exponential stability of cellular neural networks with time-varying delays
    Zhang, Q
    Zhou, DS
    Wang, HJ
    Wei, XP
    [J]. ADVANCES IN NATURAL COMPUTATION, PT 1, PROCEEDINGS, 2005, 3610 : 405 - 410
  • [8] Global exponential stability of cellular neural networks with time-varying delays
    Luo, YP
    Deng, FQ
    Yao, HZ
    [J]. 2004 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2004, : 638 - 642
  • [9] Global exponential stability of generalized neural networks with time-varying delays
    Wang, Gang
    Zhang, Huaguang
    Liu, Derong
    [J]. 2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS, 2006, : 743 - 746
  • [10] Global exponential stability for BAM neural networks with time-varying delays
    Zong, Guangdeng
    Wu, Yanfeng
    Hou, Linlin
    [J]. 2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 2500 - 2505
12345