Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems

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dc.contributor.authorBeattie, Christopher A.
dc.contributor.authorGugercin, Serkan
dc.contributor.authorMehrmann, Volker
dc.date.accessioned2021-12-17T10:15:48Z
dc.date.available2021-12-17T10:15:48Z
dc.date.issued2019-11-27
dc.description.abstractWe examine interpolatory model reduction methods that are well-suited for treating large scale port-Hamiltonian differential-algebraic systems in a way that is able to preserve and take advantage of the underlying structural features of the system. We introduce approaches that incorporate regularization together with prudent selection of interpolation data. We focus on linear time-invariant systems and present a systematic treatment of a variety of model classes that include combinations of index-1 and index-2 systems, describing in particular how constraints may be represented in the transfer function and then preserved with interpolatory methods. We propose an algorithm to generate effective interpolation data and illustrate its effectiveness on a %two numerical example.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15913
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14686
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherport-Hamiltonian systemen
dc.subject.otherpositive-real systemen
dc.subject.othermodel reductionen
dc.subject.otherdifferential-agebraic systemen
dc.titleStructure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systemsen
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.issuenumber2019, 10en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200034H05 Control problemsen
tub.subject.msc200065L70 Error boundsen
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