Network synchronization by dynamic diffusive coupling

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Abstract

The problem of controlled network synchronization for a class of nonlinear observable systems interconnected via dynamic diffusive coupling is studied. We construct dynamic diffusive coupling combining a nonlinear observer and an output feedback controller. Sufficient conditions on the systems to be interconnected, on the network topology, and on the coupling strength that guarantee (global) synchronization are derived. Moreover, using the notion of semipassivity, we prove that under some mild assumptions the solutions of interconnected semipassive systems are ultimately bounded. The results are illustrated by computer simulations of coupled FitzHugh-Nagumo oscillators.
Original languageEnglish
Article number1350076
Pages (from-to)1350076-1-12
Number of pages12
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume23
Issue number4
DOIs
Publication statusPublished - 2013

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