Analysis and Reformulation of Linear Delay Differential-Algebraic Equations

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dc.contributor.authorHa, Phi
dc.contributor.authorMehrmann, Volker
dc.date.accessioned2021-12-17T10:10:36Z
dc.date.available2021-12-17T10:10:36Z
dc.date.issued2012-04-16
dc.description.abstractIn this paper, we study general linear systems of delay differential-algebraic equations (DDAEs) of arbitrary order. We show that under some consistency conditions, every linear high-order DAE can be reformulated as an underlying high-order ordinary differential equation (ODE) and that every linear DDAE with single delay can be reformulated as a high-order delay differential equation (DDE). We derive condensed forms for DDAEs based on the algebraic structure of the system coefficients, and use these forms to reformulate DDAEs as strangeness-free systems, where all constraints are explicitly available. The condensed forms are also used to investigate structural properties of the system like solvability, regularity, consistency and smoothness requirements.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15754
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14527
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdelay differential-algebraic equationen
dc.subject.otherdifferential-algebraic equationen
dc.subject.otherstrangeness-indexen
dc.subject.otherregularizationen
dc.subject.otherindex reductionen
dc.titleAnalysis and Reformulation of Linear Delay Differential-Algebraic Equationsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2012, 08en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200034A09 Implicit equations, differential-algebraic equationsen
tub.subject.msc200034A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutionsen
tub.subject.msc200065L05 Initial value problemsen
tub.subject.msc200065H10 Systems of equationsen

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