Robust consensus of multi-agent systems with noise

doi:10.1007/s11432-009-0082-0

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	Robust consensus of multi-agent systems with noise
	Wang Lin; Liu ZhiXin
刊名	SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
	2009-05-01
卷号	52 期号:5 页码:824-834
关键词	time-varying systems stochastic matrix robust consensus connectivity exponential stability Vicsek model
ISSN号	1009-2757
DOI	10.1007/s11432-009-0082-0
英文摘要	The consensus problem of multi-agent systems has attracted wide attention from researchers in recent years, following the initial work of Jadbabaie et al. on the analysis of a simplified Vicsek model. While the original Vicsek model contains noise effects, almost all the existing theoretical results on consensus problem, however, do not take the noise effects into account. The purpose of this paper is to initiate a study of the consensus problems under noise disturbances. First, the class of multi-agent systems under study is transformed into a general time-varying system with noise. Then, for such a system, the equivalent relationships are established among (i) robust consensus, (ii) the positivity of the second smallest eigenvalue of a weighted Laplacian matrix, and (iii) the joint connectivity of the associated dynamical neighbor graphs. Finally, this basic equivalence result is shown to be applicable to several classes of concrete multi-agent models with noise.
资助项目	National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60804043] ; National Natural Science Foundation of China[60574068] ; Chinese Academy of Sciences[KJCX3-SYW-S01]
WOS研究方向	Computer Science
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000266094200009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/7232]
专题	系统科学研究所
通讯作者	Wang Lin
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang Lin,Liu ZhiXin. Robust consensus of multi-agent systems with noise[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2009,52(5):824-834.
APA	Wang Lin,&Liu ZhiXin.(2009).Robust consensus of multi-agent systems with noise.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,52(5),824-834.
MLA	Wang Lin,et al."Robust consensus of multi-agent systems with noise".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 52.5(2009):824-834.