Cluster synchronization of stochastic perturbed complex networks with time-varying delays

Author

Yi Zhao ; Jianwen Feng ; Jingyi Wang

Author_Institution

Coll. of Math. & Computional Sci., Shenzhen Univ., Shenzhen, China

fYear

2013

fDate

25-27 May 2013

Firstpage

304

Lastpage

309

Abstract

In this paper, we investigate the cluster synchronization problem for stochastic complex networks with time-varying delays by using pinning control. By utilizing the Lyapunov stability theory, stochastic analysis theory as well as linear matrix inequalities (LMI), the sufficient conditions for cluster synchronization for any initial values are derived to guarantee the synchronization. Some numerical examples are then given to illustrate the theoretical results.

Keywords

Lyapunov methods; complex networks; delays; linear matrix inequalities; perturbation techniques; stability; stochastic processes; stochastic systems; synchronisation; time-varying systems; LMI; Lyapunov stability theory; cluster synchronization problem; linear matrix inequalities; pinning control; stochastic analysis theory; stochastic perturbed complex networks; sufficient conditions; time-varying delays; Communities; Complex networks; Couplings; Delays; Educational institutions; Equations; Synchronization; Cluster Synchronization; Complex Networks; Stochastic Perturbations; Time-varying Delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6560939

Filename

6560939