Title :
Cluster Synchronization of Linearly Coupled Complex Networks Under Pinning Control
Author :
Wu, Wei ; Zhou, Wenjuan ; Chen, Tianping
Author_Institution :
Key Lab. of Nonlinear Math. Sci., Fudan Univ., Shanghai
fDate :
4/1/2009 12:00:00 AM
Abstract :
In this paper, we focus on the problem of driving a general network to a selected cluster synchronization pattern by means of a pinning control strategy. Sufficient conditions are presented to guarantee the realization of the cluster synchronization pattern for all initial values. We also show the detailed steps on how to construct the coupling matrix and to modify the control strengths. Moreover, the method of adapting the coupling strength is provided to refine the result.
Keywords :
circuit stability; complex networks; coupled circuits; linear network analysis; synchronisation; cluster synchronization pattern; globally asymptotically stable; linearly coupled complex networks; pinning control; Adaptive adjustment; cluster synchronization; globally asymptotically stable; linearly coupled networks; pinning control;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2008.2003373
