DocumentCode
2877121
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
fYear
2012
fDate
17-18 Nov. 2012
Firstpage
168
Lastpage
172
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Intelligence and Security (CIS), 2012 Eighth International Conference on
Conference_Location
Guangzhou
Print_ISBN
978-1-4673-4725-9
Type
conf
DOI
10.1109/CIS.2012.45
Filename
6405890
Link To Document