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Synchronization of Kuramoto oscillators in a bidirectional frequency-dependent tree network
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.ORCID iD: 0000-0003-1835-2963
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2018 (English)In: 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), IEEE , 2018, p. 4505-4510Conference paper, Published paper (Refereed)
Abstract [en]

This paper studies the synchronization of a finite number of Kuramoto oscillators in a frequency-dependent bidirectional tree network. We assume that the coupling strength of each link in each direction is equal to the product of a common coefficient and the exogenous frequency of its corresponding source oscillator. We derive a sufficient condition for the common coupling strength in order to guarantee frequency synchronization in tree networks. Moreover, we discuss the dependency of the obtained bound on both the graph structure and the way that exogenous frequencies are distributed. Further, we present an application of the obtained result by means of an event-triggered algorithm for achieving frequency synchronization in a star network assuming that the common coupling coefficient is given.

Place, publisher, year, edition, pages
IEEE , 2018. p. 4505-4510
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:kth:diva-245011DOI: 10.1109/CDC.2018.8619694ISI: 000458114804028Scopus ID: 2-s2.0-85062190796ISBN: 978-1-5386-1395-5 (print)OAI: oai:DiVA.org:kth-245011DiVA, id: diva2:1293693
Conference
57th IEEE Conference on Decision and Control (CDC), DEC 17-19, 2018, Miami Beach, FL
Note

QC 20190305

Available from: 2019-03-05 Created: 2019-03-05 Last updated: 2019-08-20Bibliographically approved

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Jafarian, MatinYi, XinleiPirani, MohammadSandberg, HenrikJohansson, Karl H.

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