Contraction of monotone phase-coupled oscillators

نویسندگان

  • Alexandre Mauroy
  • Rodolphe Sepulchre
چکیده

This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total variation distance. The contraction property determines the asymptotic behavior of the network, which is either finite-time synchronization or asymptotic convergence to a splay state.

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عنوان ژورنال:
  • Systems & Control Letters

دوره 61  شماره 

صفحات  -

تاریخ انتشار 2012