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Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises

文献类型:期刊论文

作者Li, Tao; Zhang, Ji-Feng
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期2010-09-01
卷号55期号:9页码:2043-2057
关键词Average-consensus distributed coordination distributed estimation multi-agent systems stochastic systems
ISSN号0018-9286
DOI10.1109/TAC.2010.2042982
英文摘要This paper investigates the average-consensus problem of first-order discrete-time multi-agent networks in uncertain communication environments. Each agent can only use its own and neighbors' information to design its control input. To attenuate the communication noises, a distributed stochastic approximation type protocol is used. By using probability limit theory and algebraic graph theory, consensus conditions for this kind of protocols are obtained: (A) For the case of fixed topologies, a necessary and sufficient condition for mean square average-consensus is given, which is also sufficient for almost sure consensus. (B) For the case of time-varying topologies, sufficient conditions for mean square average-consensus and almost sure consensus are given, respectively. Especially, if the network switches between jointly-containing-spanning-tree, instantaneously balanced graphs, then the designed protocol can guarantee that each individual state converges, both almost surely and in mean square, to a common random variable, whose expectation is right the average of the initial states of the whole system, and whose variance describes the static maximum mean square error between each individual state and the average of the initial states of the whole system.
资助项目National Natural Science Foundation of China[60934006] ; National Natural Science Foundation of China[60821091] ; Chinese National Laboratory of Space Intelligent Control
WOS研究方向Automation & Control Systems ; Engineering
语种英语
WOS记录号WOS:000283247500005
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9588]  
专题系统科学研究所
通讯作者Li, Tao
作者单位Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Li, Tao,Zhang, Ji-Feng. Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2010,55(9):2043-2057.
APA Li, Tao,&Zhang, Ji-Feng.(2010).Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,55(9),2043-2057.
MLA Li, Tao,et al."Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 55.9(2010):2043-2057.

入库方式: OAI收割

来源:数学与系统科学研究院

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