Couple-group consensus of continuous-time multi-agent systems under Markovian switching topologies

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38 Citations (Scopus)

Abstract

This paper studies the couple-group consensus problem of multi-agent systems with general linear time-invariant dynamics. The interaction among agents is governed by a continuous-time homogeneous Markov process, whose state space corresponds to all the possible communication topologies. A linear consensus protocol is introduced to realize the couple-group consensus, where the agents in one subnetwork reach a consistent state while those in the other subnetwork reach another consistent state. When the agent dynamics is stabilizable, it is found that the couple-group consensus can be achieved under some mild algebraic and topological conditions of the inter-communication and intra-communication of agents in the two subnetworks. Appropriate consensus gain is designed and the speed to consensus is derived. Finally, three numerical examples are included to illustrate the obtained results.
Original languageEnglish
Pages (from-to)4826-4844
Number of pages19
JournalJournal of the Franklin Institute
Volume352
Issue number11
Early online date14 Aug 2015
DOIs
Publication statusPublished - Nov 2015

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