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Convergence of max-min consensus algorithms
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-9970-7684
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2015 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 62, 11-17 p.Article in journal (Refereed) PublishedText
Abstract [en]

In this paper, we propose a distributed max-min consensus algorithm for a discrete-time n-node system. Each node iteratively updates its state to a weighted average of its own state together with the minimum and maximum states of its neighbors. In order for carrying out this update, each node needs to know the positive direction of the state axis, as some additional information besides the relative states from the neighbors. Various necessary and/or sufficient conditions are established for the proposed max-min consensus algorithm under time-varying interaction graphs. These convergence conditions do not rely on the assumption on the positive lower bound of the arc weights.

Place, publisher, year, edition, pages
Elsevier, 2015. Vol. 62, 11-17 p.
Keyword [en]
Consensus algorithms, Time-dependent graphs, Asymptotic convergence
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-180227DOI: 10.1016/j.automatica.2015.09.012ISI: 000366233700002ScopusID: 2-s2.0-84947709071OAI: oai:DiVA.org:kth-180227DiVA: diva2:895411
Note

QC 20160119

Available from: 2016-01-19 Created: 2016-01-08 Last updated: 2016-01-19Bibliographically approved

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Xia, WeiguoJohansson, Karl Henrik
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ACCESS Linnaeus CentreAutomatic Control
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