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 [J].
Cao, J ;
Wang, L .
PHYSICAL REVIEW E, 2000, 61 (02) :1825-1828
[3]   Global asymptotic stability of delayed bi-directional associative memory neural networks [J].
Cao, JD .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (2-3) :333-339
[4]   Delay-dependent robust H∞ control for uncertain systems with time-varying delays [J].
Cao, YY ;
Sun, YX ;
Lam, 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 [J].
Chen, AP ;
Huang, LH ;
Cao, JD .
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 [J].
GOPALSAMY, K ;
HE, XZ .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (06) :998-1002
[8]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
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 [J].
Guo, SJ ;
Huang, LH ;
Dai, BX ;
Zhang, ZZ .
PHYSICS LETTERS A, 2003, 317 (1-2) :97-106
[10]  
HALE J, 1993, INTRO FUNCTIONAL DIF, P8