Title :
Cluster Synchronization of Complex Networks with Non-delayed and Delayed Coupling under Pinning Control
Author :
Ze Tang ; Jianwen Feng ; Yi Zhao
Author_Institution :
Coll. of Math. & Comput. Sci., Shenzhen Univ., Shenzhen, China
Abstract :
In this paper, we focus on the cluster synchronization problem of a general network with non-delayed and delayed coupling. Based on the linear negative feedback control scheme, we use the Lyapunov stability theorem and linear matrix inequality (LMI) to obtain sufficient conditions which guarantee the realization of the cluster synchronization pattern for all initial values. Besides, numerical simulation is also given to support the validity of our theoretical results.
Keywords :
Lyapunov methods; closed loop systems; complex networks; delays; linear matrix inequalities; synchronisation; Lyapunov stability; cluster synchronization; complex networks; linear matrix inequality; linear negative feedback control scheme; non-delayed coupling; pinning control; Communities; Complex networks; Couplings; Oscillators; Symmetric matrices; Synchronization; Complex network; cluster synchronization; non-delayed and delayed; pinning control;
Conference_Titel :
Computational Intelligence and Security (CIS), 2012 Eighth International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4673-4725-9
DOI :
10.1109/CIS.2012.45
