Synchronization criterions and pinning control of general complex networks with time delay

被引：34

作者：

Xu, Degang ^{[1
]}

Su, Zhifang ^{[2
]}

机构：

[1] Cent S Univ, Coll Informat Sci & Engn, Changsha 410083, Peoples R China

[2] Cent S Univ, Network & Syst Ctr Lib, Changsha 410083, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 04期

关键词：

Complex networks; Time delay; Synchronization; Pinning control; Dynamical system; DYNAMICAL NETWORKS; CHAOTIC SYSTEMS; COUPLING DELAYS; STABILITY;

D O I：

10.1016/j.amc.2009.07.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problems of synchronization and pinning control for general time-delay complex dynamical networks are investigated. In this paper, less conservative criterions for both continuous-time and discrete-time complex dynamical networks with time delay are obtained. Pinning control strategies are respectively, designed to make these complex dynamical networks synchronized. Moreover, the problems of designing controllers are converted into solving optimal problems of a series of linear matrix inequalities, which reduces the computation complexity. Finally, numerical simulations verify the effectiveness of our methodology. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1593 / 1608

页数：16

共 29 条

[1] Statistical mechanics of complex networks [J].

Albert, R ;

Barabási, AL .

REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97

[2] Global organization of metabolic fluxes in the bacterium Escherichia coli [J].

Almaas, E ;

Kovács, B ;

Vicsek, T ;

Oltvai, ZN ;

Barabási, AL .

NATURE, 2004, 427 (6977) :839-843

[3] The complex topology of chemical plants [J].

Andrade, JS ;

Bezerra, DM ;

Ribeiro, J ;

Moreira, AA .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 360 (02) :637-643

[4]

[Anonymous], BULL INT STATIST INS

[5] Emergence of scaling in random networks [J].

Barabási, AL ;

Albert, R .

SCIENCE, 1999, 286 (5439) :509-512

[6] Complex networks: Structure and dynamics [J].

Boccaletti, S. ;

Latora, V. ;

Moreno, Y. ;

Chavez, M. ;

Hwang, D. -U. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308

[7] Synchronization in time-varying networks: A matrix measure approach [J].

Chen, Maoyin .

PHYSICAL REVIEW E, 2007, 76 (01)

[8] Network structures from selection principles [J].

Colizza, V ;

Banavar, JR ;

Maritan, A ;

Rinaldo, A .

PHYSICAL REVIEW LETTERS, 2004, 92 (19) :198701-1

[9] Entangled networks, synchronization, and optimal network topology -: art. no. 188701 [J].

Donetti, L ;

Hurtado, PI ;

Muñoz, MA .

PHYSICAL REVIEW LETTERS, 2005, 95 (18)

[10] Evolution of networks [J].

Dorogovtsev, SN ;

Mendes, JFF .

ADVANCES IN PHYSICS, 2002, 51 (04) :1079-1187

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