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Consensus conditions of continuous-time multi-agent systems with time-delays and measurement noises
Zong, Xiaofeng1,2; Li, Tao3; Zhang, Ji-Feng4,5
2019
Source PublicationAUTOMATICA
ISSN0005-1098
Volume99Pages:412-419
AbstractThis work is concerned with stochastic consensus conditions of multi-agent systems with both time delays and measurement noises. For the case of additive noises, we develop some necessary conditions and sufficient conditions for stochastic weak consensus by estimating the differential resolvent function for delay equations. By the martingale convergence theorem, we obtain necessary conditions and sufficient conditions for stochastic strong consensus. For the case of multiplicative noises, we consider two kinds of time-delays, appeared in the measurement term and the noise term, respectively. We first show that stochastic weak consensus with the exponential convergence rate implies stochastic strong consensus. Then by constructing degenerate Lyapunov functional, we find the sufficient consensus conditions and show that stochastic consensus can be achieved by carefully choosing the control gain according to the noise intensities and the time-delay in the measurement term. (C) 2018 Elsevier Ltd. All rights reserved.
KeywordMulti-agent system Time-delay Measurement noise Mean square consensus Almost sure consensus
DOI10.1016/j.automatica.2018.04.002
Language英语
Funding ProjectNational Natural Science Foundation of China[61522310] ; National Natural Science Foundation of China[61227902] ; National Natural Science Foundation of China[61703378] ; Shu Guang project of 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 Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000454965300046
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32099
Collection系统科学研究所
Affiliation1.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, Sch Math Sci, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Zong, Xiaofeng,Li, Tao,Zhang, Ji-Feng. Consensus conditions of continuous-time multi-agent systems with time-delays and measurement noises[J]. AUTOMATICA,2019,99:412-419.
APA Zong, Xiaofeng,Li, Tao,&Zhang, Ji-Feng.(2019).Consensus conditions of continuous-time multi-agent systems with time-delays and measurement noises.AUTOMATICA,99,412-419.
MLA Zong, Xiaofeng,et al."Consensus conditions of continuous-time multi-agent systems with time-delays and measurement noises".AUTOMATICA 99(2019):412-419.
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