Synchronization in Complex Networks With Stochastically Switching Coupling Structures

Author

Liu, Bo ; Lu, Wenlian ; Chen, Tianping

Author_Institution

Sch. of Math. Sci., Fudan Univ., Shanghai, China

Volume

57

Issue

3

fYear

2012

fDate

3/1/2012 12:00:00 AM

Firstpage

754

Lastpage

760

Abstract

Synchronization in complex networks with time dependent coupling and stochastically switching coupling structure is discussed. A novel approach investigating synchronization based on the scramblingness property of the coupling matrix is proposed. Some sufficient condition for a network with general time-varying coupling structure to reach complete synchronization is provided. Based on the general theorem, networks with stochastically switching coupling structures is investigated. In particular, two kinds of stochastic switching coupling networks are addressed: (a) independent and identically distributed switching processes and (b) Markov jump processes. In both cases, some sufficient condition for almost sure synchronization of the networks is given. Also, numerical simulations are provided to illustrate the theoretical results.

Keywords

Chua´s circuit; Markov processes; complex networks; matrix algebra; network theory (graphs); numerical analysis; stochastic systems; synchronisation; time-varying systems; Markov jump processes; complex networks; coupling matrix; independent and identically distributed switching processes; numerical simulations; stochastic switching coupling networks; stochastically switching coupling structures; synchronization; time dependent coupling; time-varying coupling structure; Couplings; Markov processes; Network topology; Switches; Synchronization; Topology; Coupled system; stochastic systems; switched systems; synchronization; time-varying;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2011.2166665

Filename

6007051