Pinning adaptive synchronization of a general complex dynamical network

doi:10.1016/j.automatica.2007.08.016

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	Pinning adaptive synchronization of a general complex dynamical network
	Zhou, Jin; Lu, Jun-an; Lu, Jinhu
	2008-04-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	44 期号:4 页码:996-1003
摘要	There are two challenging fundamental questions in pinning control of complex networks: (i) How many nodes should a network with fixed network structure and coupling strength be pinned to reach network synchronization? (ii) How much coupling strength should a network with fixed network structure and pinning nodes be applied to realize network synchronization? To fix these two questions, we propose a general complex dynamical network model and then further investigate its pinning adaptive synchronization. Based on this model, we attain several novel adaptive synchronization criteria which indeed give the positive answers to these two questions. That is, we provide a simply approximate formula for estimating the detailed number of pinning nodes and the magnitude of the coupling strength for a given general complex dynamical network. Here, the coupling-configuration matrix and the inner-coupling matrix are not necessarily symmetric. Moreover, our pinning adaptive controllers are rather simple compared with some traditional controllers. A Barabasi - Albert network example is finally given to show the effectiveness of the proposed synchronization criteria. (c) 2007 Elsevier Ltd. All rights reserved.
关键词	complex networks adaptive synchronization pinning control
DOI	10.1016/j.automatica.2007.08.016
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000255218700010
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/6773
专题	系统科学研究所
通讯作者	Lu, Jinhu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Jin,Lu, Jun-an,Lu, Jinhu. Pinning adaptive synchronization of a general complex dynamical network[J]. AUTOMATICA,2008,44(4):996-1003.
APA	Zhou, Jin,Lu, Jun-an,&Lu, Jinhu.(2008).Pinning adaptive synchronization of a general complex dynamical network.AUTOMATICA,44(4),996-1003.
MLA	Zhou, Jin,et al."Pinning adaptive synchronization of a general complex dynamical network".AUTOMATICA 44.4(2008):996-1003.