Passivity analysis of integro-differential neural networks with time-varying delays

被引:65
作者
Lou, Xuyang [1 ]
Cui, Baotong [1 ]
机构
[1] So Yangtze Univ, Res Ctr Control Sci & Engn, Wuxi 214122, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
integro-differential neural network; passivity; delays; linear matrix inequality; Lyapunov functional;
D O I
10.1016/j.neucom.2006.09.007
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 discusses the passivity for integro-differential neural networks with time-varying delays. By constructing proper Lyapunov functionals and using some analytic techniques, several sufficient conditions are given to ensure the passivity of the integro-differential neural networks with time-varying delays. The passivity conditions are presented in terms of linear matrix inequalities (LMIs), which can be easily solved by using the effective interior-point algorithm. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:1071 / 1078
页数:8
相关论文
共 31 条
[1]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[2]   On exponential stability and periodic solutions of CNNs with delays [J].
Cao, J .
PHYSICS LETTERS A, 2000, 267 (5-6) :312-318
[3]   Adaptive synchronization of neural networks with or without time-varying delay [J].
Cao, JD ;
Lu, JQ .
CHAOS, 2006, 16 (01)
[4]   A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach [J].
Cao, JD ;
Ho, DWC .
CHAOS SOLITONS & FRACTALS, 2005, 24 (05) :1317-1329
[5]   Global asymptotic stability of delayed bi-directional associative memory neural networks [J].
Cao, JD .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (2-3) :333-339
[6]   Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays [J].
Cao, Jinde ;
Song, Qiankun .
NONLINEARITY, 2006, 19 (07) :1601-1617
[7]   Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients [J].
Chen, AP ;
Cao, JD .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 134 (01) :125-140
[8]   Passivity and complexity [J].
Chua, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (01) :71-82
[9]   CMAC neural networks for control of nonlinear dynamical systems: Structure, stability and passivity [J].
Commuri, S ;
Lewis, FL .
AUTOMATICA, 1997, 33 (04) :635-641
[10]   Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms [J].
Cui, BT ;
Lou, XY .
CHAOS SOLITONS & FRACTALS, 2006, 27 (05) :1347-1354