Synchronization in an array of linearly coupled networks with time-varying delay

被引：91

作者：

Wang, Weiwei ^{[1
]}

Cao, Jinde ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2006年 / 366卷 / 01期

基金：

中国国家自然科学基金;

关键词：

linearly coupled identical connected neural networks; Lyapunov functional; synchronization; time-varying delay; Matrix inequality; neural networks;

D O I：

10.1016/j.physa.2005.10.047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper studies the dynamics of a system of linearly coupled identical connected neural networks with time-varying delay. Some sufficient conditions for synchronization of such a system are obtained based on Lyapunov functional method and matrix inequality techniques, which can be checked numerically very efficiently by using the Matlab toolbox. Finally, an example is provided to demonstrate the effectiveness of the proposed results. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：197 / 211

页数：15

共 33 条

[1]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[2] A unifying definition of synchronization for dynamical systems [J].

Brown, R ;

Kocarev, L .

CHAOS, 2000, 10 (02) :344-349

[3]

Burton TA., 2005, Stability and periodic solutions of ordinary and functional differential equations

[4] Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach [J].

Cao, JD ;

Li, XL .

PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :54-65

[5] Synchronization criteria of Lur'e systems with time-delay feedback control [J].

Cao, JD ;

Li, HX ;

Ho, DWC .

CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1285-1298

[6] Global exponential stability and periodicity of recurrent neural networks with time delays [J].

Cao, JD ;

Wang, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (05) :920-931

[7] 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

[8] Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays [J].

Cao, JD ;

Wang, J .

NEURAL NETWORKS, 2004, 17 (03) :379-390

[9] Global exponential stability of Hopfield neural networks [J].

Cao, JD .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2001, 32 (02) :233-236

[10] Periodic oscillation and exponential stability of delayed CNNs [J].

Cao, JD .

PHYSICS LETTERS A, 2000, 270 (3-4) :157-163

← 1 2 3 4 →