Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6560939
