Decentralized synchronization of time-varying oscillators under time-varying bidirectional graphs
Résumé
We study the synchronization problem for a network of planar harmonic oscillators with time-varying frequency. The oscillators are interconnected using a time-varying bidirectional graph. That is, the interconnections may be interrupted over some intervals of time, but a certain persistent connectivity prevails. We provide tight sufficient conditions on the graph's connectivity to guarantee uniform exponential synchronization of the network. Our main results are based on original statements of stability for linear time-varying systems under persistency-of-excitation conditions and Lyapunov's direct method.
Domaines
Automatique
Origine : Fichiers produits par l'(les) auteur(s)
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