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

文献类型：期刊论文

作者Zong, Xiaofeng1,2; Li, Tao3; Zhang, Ji-Feng4,5
刊名SIAM JOURNAL ON CONTROL AND OPTIMIZATION
出版日期2018
卷号56期号:1页码:19-52
关键词multi-agent system additive noise multiplicative noise mean square consensus almost sure consensus
ISSN号0363-0129
DOI10.1137/15M1019775
英文摘要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.
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
语种英语
WOS记录号WOS:000426744900002
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/29865]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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