On pinning synchronization of complex dynamical networks

doi:10.1016/j.automatica.2008.07.016

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	On pinning synchronization of complex dynamical networks
	Yu, Wenwu 1; Chen, Guanrong 1; Lu, Jinhu2
	2009-02-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	45 期号:2 页码:429-435
摘要	There exist some fundamental and yet challenging problems in pinning control of complex networks: (1) What types of pinning schemes may be chosen for a given complex network to realize synchronization? (2) What kinds of controllers may be designed to ensure the network synchronization? (3) How large should the coupling strength be used in a given complex network to achieve synchronization? This paper addresses these technique questions. Surprisingly, it is found that a network under a typical framework can realize synchronization subject to any linear feedback pinning scheme by using adaptive tuning of the coupling strength. In addition, it is found that the nodes with low degrees should be pinned first when the coupling strength is small, which is contrary to the common view that the most-highly-connected nodes should be pinned first. Furthermore, it is interesting to find that the derived pinning condition with controllers given in a high-dimensional setting can be reduced to a low-dimensional condition without the pinning controllers involved. Finally, simulation examples of scale-free networks are given to verify the theoretical results. (C) 2008 Elsevier Ltd. All rights reserved.
关键词	Complex network Pinning control Synchronization Adaptive tuning
DOI	10.1016/j.automatica.2008.07.016
语种	英语
资助项目	NSFC-HKRGC joint Research Scheme[N-CityU107/07] ; Hong Kong Research Grants Council[CityU 1117/08E] ; National Natural Science Foundation of China[60221301] ; National Natural Science Foundation of China[60772158] ; National Basic Research (973) Program of China[2007CB310805] ; Important Direction Project of Knowledge Innovation Program of Chinese Academy of Sciences[KJCX3-SYW-S01] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000263426800014
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9073
专题	系统科学研究所
通讯作者	Yu, Wenwu
作者单位	1.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yu, Wenwu,Chen, Guanrong,Lu, Jinhu. On pinning synchronization of complex dynamical networks[J]. AUTOMATICA,2009,45(2):429-435.
APA	Yu, Wenwu,Chen, Guanrong,&Lu, Jinhu.(2009).On pinning synchronization of complex dynamical networks.AUTOMATICA,45(2),429-435.
MLA	Yu, Wenwu,et al."On pinning synchronization of complex dynamical networks".AUTOMATICA 45.2(2009):429-435.