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Optimal Design for Synchronization of Kuramoto Oscillators in Tree Networks

Author(s):

M. Fazlyab, F. Dörfler, Victor M. Preciado
Conference/Journal:

Note: Available at http://arxiv.org/abs/1503.07254
Abstract:

In this paper, we develop an optimization framework to optimize phase synchronization in tree networks of coupled Kuramoto oscillators. We consider the phase cohesiveness metric that accounts for the maximum phase difference across all the edges in the network. We address three different optimization problems: (i) The optimal critical coupling problem in which we design the natural frequency of each oscillator to minimize the required coupling for synchronization (ii) the nodal-frequency design problem, in which we design the natural frequencies to optimize the phase cohesiveness, and (iii) the edge-weight design problem, in which we design the link weights. We assume that tuning the natural frequencies and/or modifying the link weights have an associated cost and develop an optimization framework to find the optimal allocation of resources under certain assumptions. We illustrate the effectiveness of our approach via numerical simulations.

Year:

2015
Type of Publication:

(15)Miscellaneous
Supervisor:



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% Autogenerated BibTeX entry
@Misc { FazD_r:2015:IFA_5306,
    author={M. Fazlyab and F. D{\"o}rfler and Victor M. Preciado},
    title={{Optimal Design for Synchronization of Kuramoto Oscillators
	  in Tree Networks}},
    month=mar,
    year={2015},
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=5306}
}
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