Print Email Facebook Twitter Synchronization of pulse-coupled oscillators and clocks under minimal connectivity assumptions Title Synchronization of pulse-coupled oscillators and clocks under minimal connectivity assumptions Author Proskurnikov, A.V. (TU Delft Team Tamas Keviczky; ITMO University; Russian Academy of Sciences) Cao, Ming (Rijksuniversiteit Groningen) Date 2017 Abstract Populations of flashing fireflies, claps of applauding audience, cells of cardiac and circadian pacemakers reach synchrony via event-triggered interactions, referred to as pulse couplings. Synchronization via pulse coupling is widely used in wireless sensor networks, providing clock synchronization with parsimonious packet exchanges. In spite of serious attention paid to networks of pulse coupled oscillators, there is a lack of mathematical results, addressing networks with general communication topologies and general phase-response curves of the oscillators. The most general results of this type (Wang et al., 2012, 2015) establish synchronization of oscillators with a delay-advance phase-response curve over strongly connected networks. In this technical note we extend this result by relaxing the connectivity condition to the existence of a root node (or a directed spanning tree) in the graph. This condition is also necessary for synchronization. Subject Complex networksevent-triggered controlhybrid systemspulse-coupled oscillatorssynchronization To reference this document use: http://resolver.tudelft.nl/uuid:c8d86423-08a5-4adb-a757-6e9b52251b11 DOI https://doi.org/10.1109/TAC.2016.2644538 ISSN 0018-9286 Source IEEE Transactions on Automatic Control, 62 (11), 5873-5879 Bibliographical note Accepted Author Manuscript Part of collection Institutional Repository Document type journal article Rights © 2017 A.V. Proskurnikov, Ming Cao Files PDF pco.pdf 403.31 KB Close viewer /islandora/object/uuid:c8d86423-08a5-4adb-a757-6e9b52251b11/datastream/OBJ/view