Novel delay-dependent stability criteria of neural networks with time-varying delay

被引:35
作者
Chen, Yonggang [1 ]
Wu, Yuanyuan [2 ]
机构
[1] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Peoples R China
[2] Southeast Univ, Res Inst Automat, Nanjing 210096, Peoples R China
关键词
Stability; Neural networks; Time-varying delay; Linear matrix inequalities (LMIs); GLOBAL ASYMPTOTIC STABILITY; ROBUST STABILITY; EXPONENTIAL STABILITY; UNCERTAINTIES;
D O I
10.1016/j.neucom.2008.03.006
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the delay-dependent stability is investigated for neural networks with a time-varying delay. By using the augmented Lyapunov functional method and by resorting to the novel method for estimating the upper bound of the derivative of augmented Lyapunov functionals, the less conservative asymptotic stability criteria are derived in terms of linear matrix inequalities (LMIs). Two numerical examples are presented to show the effectiveness and the less conservativeness of the proposed method. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:1065 / 1070
页数:6
相关论文
共 22 条
[1]   Global asymptotic stability of a larger class of neural networks with constant time delay [J].
Arik, S .
PHYSICS LETTERS A, 2003, 311 (06) :504-511
[2]   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
[3]   Delay-independent stability analysis of Cohen-Grossberg neural networks [J].
Chen, TP ;
Rong, LB .
PHYSICS LETTERS A, 2003, 317 (5-6) :436-449
[4]   Novel delay-dependent robust stability criterion of delayed cellular neural networks [J].
Cho, Hyun J. ;
Park, Ju H. .
CHAOS SOLITONS & FRACTALS, 2007, 32 (03) :1194-1200
[5]   Global stability analysis of neural networks with multiple time varying delays [J].
Ensari, T ;
Arik, S .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1781-1785
[6]   Global stability of a class of neural networks with time-varying delay [J].
Ensari, T ;
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (03) :126-130
[7]   LMI-based stability criteria for neural networks with multiple time-varying delays [J].
He, Y ;
Wang, QG ;
Wu, M .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :126-136
[8]   Global robust stability for delayed neural networks with polytopic type uncertainties [J].
He, Y ;
Wang, QG ;
Zheng, WX .
CHAOS SOLITONS & FRACTALS, 2005, 26 (05) :1349-1354
[9]   New delay-dependent stability criteria for neural networks with time-varying delay [J].
He, Yong ;
Liu, Guoping ;
Rees, D. .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01) :310-314
[10]   New results on stability analysis of neural networks with time-varying delays [J].
Hua, CC ;
Long, CN ;
Guan, XP .
PHYSICS LETTERS A, 2006, 352 (4-5) :335-340