On the Synchronization of the Kuramoto-Type Model of Oscillators With Lossy Couplings

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dc.cclicenceN/Aen
dc.contributor.authorOjo, Yemi
dc.contributor.authorLaib, Khaled
dc.contributor.authorLestas, Ioannis
dc.date.accessioned2023-04-19T14:54:50Z
dc.date.available2023-04-19T14:54:50Z
dc.date.issued2023-01-02
dc.description.abstractWe consider the problem of synchronization of coupled oscillators in an advanced Kuramoto model that includes coupling conductances, and is characterized by nonhomogeneous coupling weights and noncomplete coupling graphs. Lyapunov analysis once such coupling conductances and aforementioned properties are included becomes nontrivial and more conventional energy-like Lyapunov functions are not applicable or are conservative. Small-signal analysis has been performed for such models, but due to the fact that we have convergence to a manifold, stability analysis via a linearization is on its own inconclusive for the nonlinear model. In this letter, we provide a formal derivation using centre manifold theory that if a particular condition on the equilibrium point associated with the coupling conductances and susceptances holds, then the synchronization manifold for the nonlinear system considered is asymptotically stable. Our analysis is demonstrated with simulations.en
dc.funderOther external funder (please detail below)en
dc.funder.otherEU ERCen
dc.identifier.citationOjo, Y., Laib, K. and Lestas, I. (2023) On the Synchronization of the Kuramoto-Type Model of Oscillators With Lossy Couplings. IEEE Control Systems Letters, 7, pp. 1225-1230en
dc.identifier.doihttps://doi.org/10.1109/LCSYS.2022.3233428
dc.identifier.issn2475-1456
dc.identifier.urihttps://hdl.handle.net/2086/22714
dc.publisherIEEEen
dc.titleOn the Synchronization of the Kuramoto-Type Model of Oscillators With Lossy Couplingsen
dc.typeArticleen

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