An analysis of exponential stability of delayed neural networks with time varying delays

被引:245
作者
Arik, S [1 ]
机构
[1] Istanbul Univ, Dept Comp Engn, TR-34320 Istanbul, Turkey
关键词
delayed neural networks; exponential stability; Lyapunov functionals;
D O I
10.1016/j.neunet.2004.02.001
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper derives a new sufficient condition for the exponential stability of the equilibrium point for delayed neural networks with time varying delays by employing a Lyapunov-Krasovskii functional and using Linear Matrix Inequality (LMI) approach. This result establishes a relation between the delay time and the parameters of the network. The result is also compared with the most recent result derived in the literature. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1027 / 1031
页数:5
相关论文
共 28 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]   On the global asymptotic stability of delayed cellular neural networks [J].
Arik, S ;
Tavsanoglu, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :571-574
[3]   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
[4]   Global stability conditions for delayed CNNs [J].
Cao, J. .
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11) :1330-1333
[5]   Periodic solutions and exponential stability in delayed cellular neural networks [J].
Cao, JD .
PHYSICAL REVIEW E, 1999, 60 (03) :3244-3248
[6]   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
[7]   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
[8]  
GILLI M, 1993, IEEE T CIRCUITS SYST, V40, P157