Cluster synchronization in an array of hybrid coupled neural networks with delay

被引：239

作者：

Cao, Jinde ^{[1
]}

Li, Lulu ^{[1
]}

机构：

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

来源：

NEURAL NETWORKS | 2009年 / 22卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Cluster synchronization; Lyapunov-Krasovskii function; Linear matrix inequality (LMI); Delayed neural network; Hybrid coupling; TIME-VARYING DELAY; GLOBAL SYNCHRONIZATION; EXPONENTIAL SYNCHRONIZATION; COMPLEX NETWORKS; DISTRIBUTED DELAYS; STABILITY; DISCRETE; DISTURBANCES; LATTICES; SYSTEMS;

D O I：

10.1016/j.neunet.2009.03.006

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 investigates cluster synchronization in an array of hybrid coupled neural networks with delay. By constructing a special coupling matrix, a new method is proposed to realize cluster synchronization. In particular, the coupling configuration matrix is not assumed to be symmetric or irreducible and the inner coupling matrix is not assumed to be diagonal or positive definite. Moreover, several sufficient conditions for Cluster synchronization are derived, based on Lyapunov stability theory and the linear matrix inequality (LMI) technique. Finally, an example is given to demonstrate the effectiveness of the theoretical results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：335 / 342

页数：8

共 32 条

[1]

[Anonymous], INFORMATION PROCESSI

[2]

[Anonymous], 1991, Neuronal Cooperativity

[3]

[Anonymous], 2001, Special matrices

[4] Persistent clusters in lattices of coupled nonidentical chaotic systems [J].

Belykh, I ;

Belykh, V ;

Nevidin, K ;

Hasler, M .

CHAOS, 2003, 13 (01) :165-178

[5] Cluster synchronization in three-dimensional lattices of diffusively coupled oscillators [J].

Belykh, VN ;

Belykh, IV ;

Hasler, M ;

Nevidin, KV .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (04) :755-779

[6] Global synchronization in arrays of delayed neural networks with constant and delayed coupling [J].

Cao, JD ;

Li, P ;

Wang, WW .

PHYSICS LETTERS A, 2006, 353 (04) :318-325

[7] Global asymptotic and robust stability of recurrent neural networks with time delays [J].

Cao, JD ;

Wang, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) :417-426

[8] Global synchronization in an array of delayed neural networks with hybrid coupling [J].

Cao, Jinde ;

Chen, Guanrong ;

Li, Ping .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (02) :488-498

[9] A new complex network model and convergence dynamics for reputation computation in virtual organizations [J].

Cao, Jinde ;

Yu, Wenwu ;

Qu, Yuzhong .

PHYSICS LETTERS A, 2006, 356 (06) :414-425

[10] Global synchronization of coupled delayed neural networks and applications to chaotic CNN models [J].

Chen, GR ;

Zhou, J ;

Liu, ZR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (07) :2229-2240

← 1 2 3 4 →