Consensus under switching spanning-tree topologies and persistently exciting interconnections
Résumé
— We study the consensus problem for networks with changing communication topology and with time-dependent communication links. That is, the network changes in two dimensions: " geographical " and " temporal ". We establish that consensus is reached provided that there always exists a spanning tree for a minimal dwell-time and the interconnec-tion gains are persistently exciting. Our main result covers the particular case, studied in the literature, of one fixed-topology with time-varying interconnec-tions but also that of changing topologies with reliable interconnections during a dwell-time. Another originality of our work lies in the method of proof, based on stability theory of time-varying and switched systems. Simulations on an academic example are provided to illustrate our theoretical results.
Domaines
AutomatiqueOrigine | Fichiers produits par l'(les) auteur(s) |
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