A simple synchronization criterion for a complex network based on the feedback

Author

Mo, Zhao ; Huaguang, Zhang ; Zhiliang, Wang ; Yanhong, Luo

Author_Institution

Dept. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China

fYear

2012

fDate

10-15 June 2012

Firstpage

1

Lastpage

5

Abstract

Based on the Lyapunov stability theory, some simple generic criterions are derived for local and global synchronization of a complex network using the method of linear state feedback. The criterions are expressed by some algebraic inequalities instead of matrix inequalities which means that the original computational effort required is greatly decreased and no matter whether the coupling configuration matrix or the inner coupling matrix is symmetric. A network with typical topology structure is chosen to illustrate the effectiveness of the criterion.

Keywords

Lyapunov methods; algebra; complex networks; linear systems; state feedback; synchronisation; topology; Lyapunov stability theory; algebraic inequalities; complex network; coupling configuration matrix; generic criterion; global synchronization; inner coupling matrix; linear state feedback; local synchronization; synchronization criterion; topology structure; Chaos; Complex networks; Couplings; Eigenvalues and eigenfunctions; Linear matrix inequalities; Symmetric matrices; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Neural Networks (IJCNN), The 2012 International Joint Conference on

Conference_Location

Brisbane, QLD

ISSN

2161-4393

Print_ISBN

978-1-4673-1488-6

Electronic_ISBN

2161-4393

Type

conf

DOI

10.1109/IJCNN.2012.6252702

Filename

6252702