Control and observability aspects of phase synchronization

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dc.creatorLuis Antonio Aguirre
dc.creatorLeandro Freitas
dc.date.accessioned2025-04-22T13:09:54Z
dc.date.accessioned2025-09-09T01:30:38Z
dc.date.available2025-04-22T13:09:54Z
dc.date.issued2018
dc.identifier.doi10.1007/s11071-017-4009-9
dc.identifier.issn0924090X
dc.identifier.urihttps://hdl.handle.net/1843/81723
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofNonlinear Dynamics
dc.rightsAcesso Restrito
dc.subjectProcesso estocástico
dc.subjectSistemas não lineares
dc.subject.otherfeedback control framework that is useful in analyzing master–slave synchronization schemes
dc.subject.othersynchronization of nonlinear oscillators
dc.subject.otherNonlinear oscillators are equations that generate periodic oscillations. Two famous examples are the Van der Pol oscillator and the Duffing oscillator. These oscillators use feedback loops and control amplitude to produce sinusoidal or nonsinusoidal output signals
dc.titleControl and observability aspects of phase synchronization
dc.typeArtigo de periódico
local.citation.epage2217
local.citation.issue4
local.citation.spage2203
local.citation.volume91
local.description.resumoSynchronization phenomena have been studied from a control point of view for many years. However, the vast majority of papers consider complete synchronization, and very few have been devoted to phase synchronization. This paper addresses control and observability aspects of phase synchronization. In order to focus on fundamental aspects, a feedback control framework related to master–slave synchronization is considered. Comparing results using Cartesian and cylindrical coordinates in the context of such a framework and with three known oscillator models, it is argued that (1) observability does not play a significant role in phase synchronization, although it is granted that it might be relevant for complete synchronization, and (2) a practical difficulty is faced when phase synchronization is aimed at, but the control action is not a direct function of the phase error, as it is usually the case in synchronization studies. This difficulty with its fundamental and practical consequences is investigated in some detail.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://link.springer.com/article/10.1007/s11071-017-4009-9

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