Synchronization in Networks of Identical Linear Systems

dc.creatorScardovi, Luca
dc.creatorSepulchre, Rodolphe
dc.date2008-05-22
dc.date.accessioned2026-07-07T09:40:24Z
dc.date.available2026-07-07T09:40:24Z
dc.descriptionThe paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling that achieves synchronization if the decoupled systems have no exponentially unstable mode and if the communication graph is uniformly connected. The result can be interpreted as a generalization of classical consensus algorithms. Stronger conditions are shown to be sufficient but to some extent, also necessary to ensure synchronization with the diffusive static output coupling often considered in the literature.
dc.description19 pages, 5 figures. Submitted
dc.identifierhttps://arxiv.org/abs/0805.3456
dc.identifierhttp://arxiv.org/abs/0805.3456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161472
dc.subjectOptimization and Control
dc.titleSynchronization in Networks of Identical Linear Systems
dc.typetext

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