Model Reduction of Descriptor Systems

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dc.contributor.authorStykel, Tatjana
dc.date.accessioned2021-12-17T10:18:32Z
dc.date.available2021-12-17T10:18:32Z
dc.date.issued2001-12-12
dc.description.abstractModel reduction is of fundamental importance in many control applications. We consider model reduction methods for linear continuous-time descriptor systems. The methods are based on balanced truncation techniques and closely related to the controllability and observability Gramians and Hankel singular values of descriptor systems. The Gramians can be computed by solving the generalized Lyapunov equations with special right-hand sides. The numerical solution of generalized Lyapunov equations is also discussed. A numerical example is given.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15974
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14747
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdescriptor systemsen
dc.subject.othercontrollability and observability Gramiansen
dc.subject.otherHankel singular valuesen
dc.subject.othermodel reductionen
dc.titleModel Reduction of Descriptor 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.issuenumber2001, 720en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200093C05 Linear systemsen
tub.subject.msc200015A24 Matrix equations and identitiesen

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