Convergence of max-min consensus algorithms
2015 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 62, 11-17 p.Article in journal (Refereed) PublishedText
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.
Consensus algorithms, Time-dependent graphs, Asymptotic convergence
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: 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
QC 201601192016-01-192016-01-082016-01-19Bibliographically approved