Delay-Dependent Exponential Stability for Discrete-Time BAM Neural Networks with Time-Varying Delays

被引:8
作者
Chen, Yonggang [1 ]
Bi, Weiping [2 ]
Wu, Yuanyuan [3 ]
机构
[1] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Peoples R China
[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
[3] Southeast Univ, Sch Automat, Minist Educ, Key Lab Measurement & Control Complex Syst Engn, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1155/2008/421614
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper considers the delay-dependent exponential stability for discrete-time BAM neural networks with time-varying delays. By constructing the new Lyapunov functional, the improved delay-dependent exponential stability criterion is derived in terms of linear matrix inequality (LMI). Moreover, in order to reduce the conservativeness, some slack matrices are introduced in this paper. Two numerical examples are presented to show the effectiveness and less conservativeness of the proposed method. Copyright (C) 2008 Yonggang Chen et al.
引用
收藏
页数:14
相关论文
共 33 条
[1]   Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays [J].
Arik, S .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (03) :580-586
[2]   Exponential stability of delayed bi-directional associative memory networks [J].
Cao, J ;
Dong, MF .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :105-112
[3]   Exponential stability and periodic oscillatory solution in BAM networks with delays [J].
Cao, JD ;
Wang, L .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02) :457-463
[4]   LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay [J].
Cao, Jinde ;
Ho, Daniel W. C. ;
Huang, Xia .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (07) :1558-1572
[5]   Global exponential stability for discrete-time neural networks with variable delays [J].
Chen, Wu-Hua ;
Lu, Xiaomei ;
Liang, Dong-Ying .
PHYSICS LETTERS A, 2006, 358 (03) :186-198
[6]  
GAO M, APPL MATH M IN PRESS
[7]   Global exponential stability of impulsive high-order BAM neural networks with time-varying delays [J].
Ho, Daniel W. C. ;
Liang, Jinling ;
Lam, James .
NEURAL NETWORKS, 2006, 19 (10) :1581-1590
[8]   Global stability of a class of discrete-time recurrent neural networks [J].
Hu, SQ ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (08) :1104-1117
[9]   LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks [J].
Huang, X ;
Cao, JD ;
Huang, DS .
CHAOS SOLITONS & FRACTALS, 2005, 24 (03) :885-898
[10]   Global stability of periodic solution for bidirectional associative memory neural networks with varying-time delay [J].
Jiang, Minghui ;
Shen, Yi ;
Liao, Xiaoxin .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) :509-520