A novel criterion for global asymptotic stability of BAM neural networks with tine delays

被引:97
作者
Park, JH [1 ]
机构
[1] Yeungnam Univ, Dept Elect Engn, Robust Control & Nonlinear Dynam Lab, Kyongsan 712749, South Korea
关键词
D O I
10.1016/j.chaos.2005.08.018
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A delay-differential equation modelling a bidirectional associative memory (BAM) neural networks is investigated. An asymptotic stability of the BAM neural networks with time delays is considered by constructing a new suitable Lyapunov functional and some matrix inequality technique. A novel delay-dependent stability criterion is given in terms of matrix inequalities, which can be solved easily by various optimization algorithms. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:446 / 453
页数:8
相关论文
共 18 条
  • [1] BOYD B, 1994, LINEAR MATRIX INEQUA, P8
  • [2] Periodic oscillatory solution of bidirectional associative memory networks with delays
    Cao, J
    Wang, L
    [J]. PHYSICAL REVIEW E, 2000, 61 (02): : 1825 - 1828
  • [3] Global asymptotic stability of delayed bi-directional associative memory neural networks
    Cao, JD
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (2-3) : 333 - 339
  • [4] Delay-dependent robust H∞ control for uncertain systems with time-varying delays
    Cao, YY
    Sun, YX
    Lam, J
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1998, 145 (03): : 338 - 344
  • [5] Existence and stability of almost periodic solution for BAM neural networks with delays
    Chen, AP
    Huang, LH
    Cao, JD
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (01) : 177 - 193
  • [6] GAHINET P, 1995, LMI CONTROL TOOLBOX, P8
  • [7] DELAY-INDEPENDENT STABILITY IN BIDIRECTIONAL ASSOCIATIVE MEMORY NETWORKS
    GOPALSAMY, K
    HE, XZ
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (06): : 998 - 1002
  • [8] An integral inequality in the stability problem of time-delay systems
    Gu, KQ
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2805 - 2810
  • [9] Global existence of periodic solutions of BAM neural networks with variable coefficients
    Guo, SJ
    Huang, LH
    Dai, BX
    Zhang, ZZ
    [J]. PHYSICS LETTERS A, 2003, 317 (1-2) : 97 - 106
  • [10] HALE J, 1993, INTRO FUNCTIONAL DIF, P8