Consensus under switching spanning-tree topologies and persistently exciting interconnections

Nohemi Alvarez-Jarquin 1 Antonio Loria 2 José Luis Avila
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : — 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.
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Nohemi Alvarez-Jarquin, Antonio Loria, José Luis Avila. Consensus under switching spanning-tree topologies and persistently exciting interconnections. IEEE American Control Conference (ACC 2018), Jun 2018, Milwaukee, United States. ⟨10.23919/acc.2018.8431206 ⟩. ⟨hal-01753415⟩

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