Skip to Main content Skip to Navigation
Conference papers

Asymptotic phase synchronization of Kuramoto model with weighted non-symetric interconnections: A case study

Abstract : We consider a synchronization problem for the Kuramoto oscillators using a linear modeling framework. For the general case of Kuramoto model with directed and weighted graph of interconnections we show that the problem of existence of phase locked solutions is equivalent to an algebraic problem of existence of a corresponding matrix with a single purely imaginary eigenvalue. In the case of complete input- output weighted graphs this approach allows to give analytical expressions both for the synchronization frequencies and the phase locked solutions and, on the next step, to analyze their stability properties.
Complete list of metadatas

https://hal-supelec.archives-ouvertes.fr/hal-00934181
Contributor : Myriam Baverel <>
Submitted on : Tuesday, January 21, 2014 - 4:18:26 PM
Last modification on : Wednesday, September 16, 2020 - 4:42:49 PM

Identifiers

Collections

Citation

A. El Ati, Elena Panteley. Asymptotic phase synchronization of Kuramoto model with weighted non-symetric interconnections: A case study. 52nd IEEE Conference on Decision and Control CDC 2013, Dec 2013, Florence, Italy. pp.1-6, ⟨10.1109/cdc.2013.6760065⟩. ⟨hal-00934181⟩

Share

Metrics

Record views

218