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Delay-induced discrete-time consensus
Chen, Yao1; Lu, Jinhu2,3
Source PublicationAUTOMATICA
AbstractDistributed coordination algorithm (DCA) is a classic algorithm for information fusion via local interactions, which has been widely applied in distributed computing, sensor networks, and mobile robots. Consensus is a typical behavior of DCA, which implies the convergence to some identical value for all the states. It is well known that under certain conditions DCA generates consensus with exponential rate. Though it has been proved in existing literature that time-delays trigger consensus in continuous time. DCA, it is still unknown how to trigger consensus via time-delays in discrete-time DCA. This paper introduces time-delays to discrete-time DCA which originally cannot realize consensus, and proves that if the introduced delay is co-prime with the period of the communication topology, then consensus happens. Specifically, we found that there does not exist a critical threshold of time-delay for consensus in discrete-time DCA. The proposed method in this paper is totally a graphical method, which does not rely on the analysis of eigenvalues. (C) 2017 Elsevier Ltd. All rights reserved.
KeywordDistributed coordination algorithm Consensus SIA matrix SIP matrix
Funding ProjectNational Key Research and Development Program of China[2016YFB0800401] ; National Natural Science Foundation of China[61773319] ; National Natural Science Foundation of China[61621003] ; National Natural Science Foundation of China[61532020] ; Fundamental Research Funds for Central Universities of China
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000414818100039
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Document Type期刊论文
Corresponding AuthorChen, Yao
Affiliation1.Southwestern Univ Finance & Econ, Dept Comp Sci, Chengdu 611130, Sichuan, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Chen, Yao,Lu, Jinhu. Delay-induced discrete-time consensus[J]. AUTOMATICA,2017,85:356-361.
APA Chen, Yao,&Lu, Jinhu.(2017).Delay-induced discrete-time consensus.AUTOMATICA,85,356-361.
MLA Chen, Yao,et al."Delay-induced discrete-time consensus".AUTOMATICA 85(2017):356-361.
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