Adaptive cluster synchronization of directed complex networks with time delays.
This paper studied the cluster synchronization of directed complex networks with time delays. It is different from undirected networks, the coupling configuration matrix of directed networks cannot be assumed as symmetric or irreducible. In order to achieve cluster synchronization, this paper uses an adaptive controller on each node and an adaptive feedback strategy on the nodes which in-degree is zero. Numerical example is provided to show the effectiveness of main theory. This method is also effective when the number of clusters is unknown. Thus, it can be used in the community recognizing of directed complex networks.
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China.
Heng
H
Liu
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China.
Xingyuan
X
Wang
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China.
Guozhen
G
Tan
D000465:Algorithms; D016000:Cluster Analysis; D003627:Data Interpretation, Statistical