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Cluster synchronization of linearly coupled complex networks via linear and adaptive feedback pinning controls
Authors:Lin Shi  Hong Zhu  Shouming Zhong  Kaibo Shi  Jun Cheng
Affiliation:1.School of Mathematics,Southwest Jiaotong University,Chengdu,People’s Republic of China;2.School of Automation Engineering,University of Electronic Science and Technology of China,Chengdu,People’s Republic of China;3.School of Mathematics Sciences,University of Electronic Science and Technology of China,Chengdu,People’s Republic of China;4.School of Information Science and Engineering,Chengdu University,Chengdu,People’s Republic of China;5.School of Science,Hubei University for Nationalities,Enshi Hubei,People’s Republic of China
Abstract:Cluster synchronization is investigated for complex networks via linear and adaptive feedback control strategies. It is shown that two different controllers can be designed to achieve the cluster synchronization. Unlike most existing papers, we need not nondelayed and delayed coupling matrices to be symmetric or irreducible. Finally, two examples are given to illustrate the effectiveness of the proposed methods.
Keywords:
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