Imaginary characteristic roots of neutral systems with commensurate delays

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dc.creatorFernando de Oliveira Souza
dc.date.accessioned2025-05-21T14:39:34Z
dc.date.accessioned2025-09-08T22:57:31Z
dc.date.available2025-05-21T14:39:34Z
dc.date.issued2019
dc.identifier.doihttps://doi.org/10.1016/j.sysconle.2019.03.011
dc.identifier.issn0167-6911
dc.identifier.urihttps://hdl.handle.net/1843/82419
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofSystems and control letters
dc.rightsAcesso Restrito
dc.subjectSistemas lineares
dc.subject.otherNeutral delay systems
dc.subject.otherMultiple time-delays
dc.subject.otherStability
dc.subject.otherGeneralized eigenvalues
dc.subject.otherFirst time-delay interval
dc.titleImaginary characteristic roots of neutral systems with commensurate delays
dc.typeArtigo de periódico
local.citation.epage24
local.citation.spage19
local.citation.volume127
local.description.resumoThis paper concentrates on stability analysis of neutral linear time-invariant (LTI) delay systems with multiple commensurate time-delays. A new numerical procedure is offered for the determination of purely imaginary characteristic roots of neutral delay systems, which plays a crucial role in assessing the system stability. Based on simple linear algebra it is shown that the imaginary characteristic roots of such a system can be found by calculating the generalized eigenvalues of an associated matrix pair. If the system is of retarded type we just need to determine the eigenvalues of a single matrix. The results extend previously known work on neutral delay systems subject to a single delay for neutral systems subject to multiple commensurate delays. In the light of the main result of this paper we present a new method to determine the largest first time-delay interval for which a neutral delay system preserves its stability. The paper is closed by showing numerical examples that illustrate the applicability and effectiveness of the proposed method.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.sciencedirect.com/science/article/pii/S0167691119300404

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