CONSENSUS CONDITIONS OF CONTINUOUS-TIME MULTI-AGENT SYSTEMS WITH ADDITIVE AND MULTIPLICATIVE MEASUREMENT NOISES

doi:10.1137/15M1019775

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	CONSENSUS CONDITIONS OF CONTINUOUS-TIME MULTI-AGENT SYSTEMS WITH ADDITIVE AND MULTIPLICATIVE MEASUREMENT NOISES
	Zong, Xiaofeng 1,2; Li, Tao 3; Zhang, Ji-Feng4,5
	2018
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	56 期号:1 页码:19-52
摘要	This work is concerned with the consensus problem of multi-agent systems with additive and multiplicative measurement noises. By developing general stochastic stability lemmas for nonautonomous stochastic differential equations, stochastic weak and strong consensus conditions are investigated under fixed and time-varying topologies, respectively. For the case with fixed topologies and additive noises, the necessary and sufficient conditions for almost sure strong consensus are given. It is revealed that almost sure strong consensus and mean square strong consensus are equivalent under general digraphs, and almost sure weak consensus implies mean square weak consensus under undirected graphs; if multiplicative noises appear, then small noise intensities do not affect the control gain to guarantee stochastic strong consensus. For the case with time-varying topologies, sufficient consensus conditions are given under the periodically connected condition of the topology flow.
关键词	multi-agent system additive noise multiplicative noise mean square consensus almost sure consensus
DOI	10.1137/15M1019775
语种	英语
资助项目	National Natural Science Foundation of China[61522310] ; Shanghai Municipal Education Commission ; Shanghai Education Development Foundation[17SG26] ; Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan)[CUG170610] ; National Key Basic Research Program of China (973 Program)[2014CB845301]
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000426744900002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29866
专题	系统科学研究所
通讯作者	Li, Tao
作者单位	1.China Univ Geosci, Sch Automat, Wuhan 430074, Hubei, Peoples R China 2.Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Hubei, Peoples R China 3.East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Dept Math, Shanghai 200241, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zong, Xiaofeng,Li, Tao,Zhang, Ji-Feng. CONSENSUS CONDITIONS OF CONTINUOUS-TIME MULTI-AGENT SYSTEMS WITH ADDITIVE AND MULTIPLICATIVE MEASUREMENT NOISES[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2018,56(1):19-52.
APA	Zong, Xiaofeng,Li, Tao,&Zhang, Ji-Feng.(2018).CONSENSUS CONDITIONS OF CONTINUOUS-TIME MULTI-AGENT SYSTEMS WITH ADDITIVE AND MULTIPLICATIVE MEASUREMENT NOISES.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,56(1),19-52.
MLA	Zong, Xiaofeng,et al."CONSENSUS CONDITIONS OF CONTINUOUS-TIME MULTI-AGENT SYSTEMS WITH ADDITIVE AND MULTIPLICATIVE MEASUREMENT NOISES".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 56.1(2018):19-52.