Robust stability of bidirectional associative memory neural networks with time delays

被引:104
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
global robust stability; linear matrix inequality; Lyapunov-Krasovskii functionals;
D O I
10.1016/j.physleta.2005.09.067
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the Lyapunov-Krasovskii functionals combined with linear matrix inequality approach, a novel stability criterion is proposed for asymptotic stability of bidirectional associative memory neural networks with time delays. A novel delay-dependent stability criterion is given in terms of linear matrix inequalities, which can be solved easily by various optimization algorithms. (c) 2005 Published by Elsevier B.V.
引用
收藏
页码:494 / 499
页数:6
相关论文
共 20 条
[1]  
[Anonymous], 1994, LINEAR MATRIX INEQUA
[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
[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.K., 1993, Introduction to Functional Differential Equations, DOI DOI 10.1007/978-1-4612-4342-7