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Finite-Time Consensus Using Stochastic Matrices With Positive Diagonals
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: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 60, no 4, 1070-1073 p., 6887337Article in journal (Refereed) Published
Abstract [en]

We discuss the possibility of reaching consensus in finite time using only linear iterations, with the additional restrictions that the update matrices must be stochastic with positive diagonals and consistent with a given graph structure. We show that finite-time average consensus can always be achieved for connected undirected graphs. For directed graphs, we show some necessary conditions for finite-time consensus, including strong connectivity and the presence of a simple cycle of even length.

Place, publisher, year, edition, pages
2015. Vol. 60, no 4, 1070-1073 p., 6887337
Keyword [en]
Agents and autonomous systems, finite-time consensus, sensor networks
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-165201DOI: 10.1109/TAC.2014.2352691ISI: 000351731600014Scopus ID: 2-s2.0-84926367071OAI: oai:DiVA.org:kth-165201DiVA: diva2:810509
Note

QC 20150507

Available from: 2015-05-07 Created: 2015-04-24 Last updated: 2017-12-04Bibliographically approved

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Johansson, Karl H.

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