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

A. El Ati Elena Panteley 1
1 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
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.
Type de document :
Communication dans un congrès
52nd IEEE Conference on Decision and Control CDC 2013, Dec 2013, Florence, Italy. pp.1-6, 2013, 〈10.1109/cdc.2013.6760065 〉
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https://hal-supelec.archives-ouvertes.fr/hal-00934181
Contributeur : Myriam Baverel <>
Soumis le : mardi 21 janvier 2014 - 16:18:26
Dernière modification le : jeudi 26 avril 2018 - 14:31:11

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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, 2013, 〈10.1109/cdc.2013.6760065 〉. 〈hal-00934181〉

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