Impulsive synchronization of general continuous and discrete-time complex dynamical networks

被引：48

作者：

Zhang, Qunjiao ^{[1
]}

Lu, Jun-an ^{[2
]}

Zhao, Junchan ^{[2
]}

机构：

[1] Wuhan Univ Sci & Engn, Coll Sci, Wuhan 430073, Hubei, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Impulsive synchronization; Dynamical networks; Continuous; Discrete-time; Chen system; Henon map; PINNING CONTROL;

D O I：

10.1016/j.cnsns.2009.05.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly investigates the impulsive synchronization of a general complex continuous and discrete-time dynamical network. Firstly, for the continuous complex networks, we give a sufficient condition to guarantee its synchronization. When the sufficient condition is not satisfied, the impulsive controllers are utilized, and some novel criteria are derived to guarantee the network synchronization in this case. What is more significant is that the similar work is extended to the discrete-time networks model. Finally, the results are, respectively, illustrated by a continuous network composed with the chaotic Chen oscillators and a discrete-time network consisting of Henon map. All numerical simulations verify the effectiveness of the theoretical analysis. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1063 / 1070

页数：8

共 23 条

[1]

ALBERT CJL, 2009, COMMUN NONLINEAR SCI, V14, P1901

[2] New criteria for synchronization stability of general complex dynamical networks with coupling delays [J].

Gao, Huijun ;

Lam, James ;

Chen, Guanrong .

PHYSICS LETTERS A, 2006, 360 (02) :263-273

[3]

HONG H, 2002, PHYS REV E, V65

[4] RTD-based cellular neural networks with multiple steady states [J].

Itoh, M ;

Julián, P ;

Chua, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (12) :2913-2959

[5]

Itoh M., 1999, Proceedings of the European Conference on Circuit Theory and Design. ECCTD'99, P353

[6] Application of impulsive synchronization to communication security [J].

Khadra, A ;

Liu, XZ ;

Shen, XM .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (03) :341-351

[7] Synchronization in general complex dynamical networks with coupling delays [J].

Li, CG ;

Chen, GR .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 343 :263-278

[8] Synchronization in small-world oscillator networks with coupling delays [J].

Li, CG ;

Xu, HB ;

Liao, XF ;

Yu, JB .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 335 (3-4) :359-364

[9] Synchronization of complex dynamical networks with time delays [J].

Li, CP ;

Sun, WG ;

Kurths, J .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 361 (01) :24-34

[10] Pinning a complex dynamical network to its equilibrium [J].

Li, X ;

Wang, XF ;

Chen, GR .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (10) :2074-2087

← 1 2 3 →