Distance problems for dissipative Hamiltonian systems and related matrix polynomials

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dc.contributor.authorMehl, Christian
dc.contributor.authorMehrmann, Volker
dc.contributor.authorWojtylak, Michal
dc.date.accessioned2021-12-17T10:16:23Z
dc.date.available2021-12-17T10:16:23Z
dc.date.issued2020-01-24
dc.description.abstractWe study the characterization of several distance problems for linear differential-algebraic systems with dissipative Hamiltonian structure. Since all models are only approximations of reality and data are always inaccurate, it is an important question whether a given model is close to a 'bad' model that could be considered as ill-posed or singular. This is usually done by computing a distance to the nearest model with such properties. We will discuss the distance to singularity and the distance to the nearest high index problem for dissipative Hamiltonian systems. While for general unstructured differential-algebraic systems the characterization of these distances are partially open problems, we will show that for dissipative Hamiltonian systems and related matrix polynomials there exist explicit characterizations that can be implemented numerically.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15929
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14702
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdistance to singularityen
dc.subject.otherdistance to high index problemen
dc.subject.otherdistance to instabilityen
dc.subject.otherdissipative Hamiltonian systemen
dc.subject.otherdifferential-algebraic systemen
dc.subject.othermatrix pencilen
dc.subject.otherKronecker canonical formen
dc.titleDistance problems for dissipative Hamiltonian systems and related matrix polynomialsen
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.issuenumber2020, 01en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200015A18 Eigenvalues, singular values, and eigenvectorsen
tub.subject.msc200015A21 Canonical forms, reductions, classificationen
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