A note on the consensus finding problem in communication networks with switching topologies

Jan Haskovec

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this note, we discuss the problem of consensus finding in communication networks of agents with dynamically switching topologies. In particular, we consider the case of directed networks with unbalanced matrices of communication rates. We formulate sufficient conditions for consensus finding in terms of strong connectivity of the underlying directed graphs and prove that, given these conditions, consensus is found asymptotically. Moreover, we show that this consensus is an emergent property of the system, being encoded in its dynamics and not just an invariant of its initial configuration. © 2014 © 2014 Taylor & Francis.
Original languageEnglish (US)
Pages (from-to)991-998
Number of pages8
JournalApplicable Analysis
Volume94
Issue number5
DOIs
StatePublished - May 7 2014

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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