Exponential stability for uncertain cellular neural networks with discrete and distributed time-varying delays

被引:39
作者
Kwon, O. M. [1 ]
Park, Ju H. [2 ]
机构
[1] Chungbuk Natl Univ, Sch Elect & Comp Engn, Cheongju 361763, South Korea
[2] Yeungnam Univ, Dept Elect Engn, Robust Control & Nonlinear Dynam Lab, Kyongsan 712749, South Korea
关键词
exponential stability; LMI; Lyapunov method; neural networks; time-varying delays;
D O I
10.1016/j.amc.2008.05.091
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the problem of exponential stability of uncertain cellular neural networks with discrete and distribute time-varying delays is considered. Based on the Lyapunov function method and convex optimization approach, a new delay-dependent stability criterion with an exponential convergence rate is derived in terms of LMI (linear matrix inequality). Three numerical examples are given to show the effectiveness of the proposed methods. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:813 / 823
页数:11
相关论文
共 21 条
[1]   An improved global stability result for delayed cellular neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (08) :1211-1214
[2]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[3]   Learning of Chua's circuit attractors by locally recurrent neural networks [J].
Cannas, B ;
Cincotti, S ;
Marchesi, M ;
Pilo, F .
CHAOS SOLITONS & FRACTALS, 2001, 12 (11) :2109-2115
[4]   Global asymptotic stability of neural networks with transmission delays [J].
Cao, JD .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (10) :1313-1316
[5]  
Gahinet P., 1995, LMI Control Toolbox
[6]   Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach [J].
Gau, R. S. ;
Lien, C. H. ;
Hsieh, J. G. .
CHAOS SOLITONS & FRACTALS, 2007, 32 (04) :1258-1267
[7]   Global asymptotic stability for cellular neural networks with discrete and distributed time-varying delays [J].
Lien, Chang-Hua ;
Chung, Long-Yeu .
CHAOS SOLITONS & FRACTALS, 2007, 34 (04) :1213-1219
[8]   An artificial neural network as a model for chaotic behavior of a three-phase fluidized bed [J].
Otawara, K ;
Fan, LT ;
Tsutsumi, A ;
Yano, T ;
Kuramoto, K ;
Yoshida, K .
CHAOS SOLITONS & FRACTALS, 2002, 13 (02) :353-362
[9]   Robust stability of bidirectional associative memory neural networks with time delays [J].
Park, JH .
PHYSICS LETTERS A, 2006, 349 (06) :494-499
[10]   Global exponential stability of cellular neural networks with variable delays [J].
Park, Ju H. .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (02) :1214-1219