Delay-dependent global stability results for delayed Hopfield neural networks

被引:41
作者
Zhang, Qiang [1 ]
Wei, Xiao Peng [1 ]
Xu, Jin [1 ]
机构
[1] Dalian Univ Technol, Liaoning Key Lab Intelligent Informat Proc, Dalian 116622, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2006.03.073
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, by utilizing Lyapunov functional method and the linear matrix inequality approach, we analyze the global asymptotic stability of Hopfield neural networks with time delays. A new sufficient condition ensuring global asymptotic stability of the unique equilibrium point of delayed Hopfield neural networks is obtained. The result is related to the size of delays. A numerical example is given to illustrate the efficiency of our result. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:662 / 668
页数:7
相关论文
共 37 条
[1]   Equilibrium analysis of delayed CNN's [J].
Arik, S ;
Tavsanoglu, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (02) :168-171
[2]   Stability analysis of delayed neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (07) :1089-1092
[3]   ON A CLASS OF NONSYMMETRICAL NEURAL NETWORKS WITH APPLICATION TO ADC [J].
AVITABILE, G ;
FORTI, M ;
MANETTI, S ;
MARINI, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (02) :202-209
[4]   HOW DELAYS AFFECT NEURAL DYNAMICS AND LEARNING [J].
BALDI, P ;
ATIYA, AF .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (04) :612-621
[5]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[6]   A set of stability criteria for delayed cellular neural networks [J].
Cao, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04) :494-498
[7]   Global stability analysis in delayed cellular neural networks [J].
Cao, JD .
PHYSICAL REVIEW E, 1999, 59 (05) :5940-5944
[8]   A note on stability of analog neural networks with time delays [J].
Cao, YJ ;
Wu, QH .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1996, 7 (06) :1533-1535
[9]   An estimation of upperbound of delays for global asymptotic stability of delayed Hopfield neural networks [J].
Chen, AP ;
Cao, JD ;
Huang, LH .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (07) :1028-1032
[10]   New theorems on global convergence of some dynamical systems [J].
Chen, TP ;
Amari, S .
NEURAL NETWORKS, 2001, 14 (03) :251-255