Balanced truncation model reduction for semidiscretized Stokes equation

dc.contributor.authorStykel, Tatjana
dc.date.accessioned2021-12-17T10:05:46Z
dc.date.available2021-12-17T10:05:46Z
dc.date.issued2003-02-01
dc.description.abstractWe discuss model reduction of linear continuous-time descriptor systems that arise in the control of semidiscretized Stokes equations. Balanced truncation model reduction methods for descriptor systems are presented. These methods are closely related to the proper and improper controllability and observability Gramians and Hankel singular values of descriptor systems. The Gramians can be computed by solving projected generalized Lyapunov equations. Important properties of the balanced truncation approach are that the asymptotic stability is preserved in the reduced order system and there is a priori bound on the approximation error. We demonstrate the application of balanced truncation model reduction to the semidiscretized Stokes equation.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15512
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14285
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othermatrix equations and identitiesen
dc.subject.otherdynamical systems in fluid mechanics, oceanography and meteorologyen
dc.titleBalanced truncation model reduction for semidiscretized Stokes equationen
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.issuenumber2003, 04en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200015A24 Matrix equations and identitiesen
tub.subject.msc200037N10 Dynamical systems in fluid mechanics, oceanography and meteorologyen
tub.subject.msc200093A15 Large scale systemsen

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