Pinning synchronization of a general complex dynamical network

Author

Li, Wenlin ; Liu, Zhenhong ; Miao, Jing

Author_Institution

Coll. of Math. & Inf. Sci., He´´nan Normal Univ., Xinxiang, China

fYear

2009

fDate

17-19 June 2009

Firstpage

3340

Lastpage

3344

Abstract

In this letter, we provide a simply approximate formula for estimating the detailed number of pinning nodes and a novel pinning synchronization criteria are obtained for a given general complex dynamical network. By using eigenvalues of the minor matrix of inner-coupling matrix and Schur lemma, we can reduce the gain factor of the controller. Previous results about symmetric coupling matrix are included as special cases of the present work. Finally a network example consists of 10 identical Lorenz systems are given to show the effectiveness of the proposed synchronization criteria.

Keywords

complex networks; control system synthesis; eigenvalues and eigenfunctions; matrix algebra; synchronisation; Lorenz systems; Schur lemma; general complex dynamical network; inner-coupling matrix; pinning nodes; pinning synchronization criteria; symmetric coupling matrix; Complex networks; Couplings; Educational institutions; Eigenvalues and eigenfunctions; Electronic mail; IP networks; Information science; Mathematical model; Mathematics; Symmetric matrices; Complex networks; Pinning control; Schur lemma; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5192050

Filename

5192050