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Stochastic phase-cohesiveness of discrete-time Kuramoto oscillators in a frequency-dependent tree network
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0003-2360-7609
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0001-5255-0352
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0001-9940-5929
2019 (English)In: Proceedings 2019 18th European Control Conference (ECC), IEEE , 2019, p. 1987-1992Conference paper, Published paper (Refereed)
Abstract [en]

This paper presents the notion of stochastic phase-cohesiveness based on the concept of recurrent Markov chains and studies the conditions under which a discrete-time stochastic Kuramoto model is phase-cohesive. It is assumed that the exogenous frequencies of the oscillators are combined with random variables representing uncertainties. A bidirectional tree network is considered such that each oscillator is coupled to its neighbors with a coupling law which depends on its own noisy exogenous frequency. In addition, an undirected tree network is studied. For both cases, a sufficient condition for the common coupling strength (kappa) and a necessary condition for the sampling-period are derived such that the stochastic phase-cohesiveness is achieved. The analysis is performed within the stochastic systems framework and validated by means of numerical simulations.

Place, publisher, year, edition, pages
IEEE , 2019. p. 1987-1992
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-263387DOI: 10.23919/ECC.2019.8796107ISI: 000490488302003Scopus ID: 2-s2.0-85071549891ISBN: 9783907144008 (print)OAI: oai:DiVA.org:kth-263387DiVA, id: diva2:1370161
Conference
18th European Control Conference (ECC), Naples, ITALY, JUN 25-28, 2019
Note

QC 20191114

Available from: 2019-11-14 Created: 2019-11-14 Last updated: 2019-11-14Bibliographically approved

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Jafarian, MatinMamduhi, Mohammad H.Johansson, Karl H.

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