Linear-Quadratic Gaussian Balancing for Model Reduction of Differential-Algebraic Systems

dc.contributor.authorMöckel, Jens
dc.contributor.authorReis, Timo
dc.contributor.authorStykel, Tatjana
dc.date.accessioned2021-12-17T10:09:57Z
dc.date.available2021-12-17T10:09:57Z
dc.date.issued2011-02-06
dc.description.abstractWe generalize the model reduction method of linear-quadratic Gaussian balanced truncation to linear time-invariant systems governed by differential-algebraic equations. The presented method relies on the solution of generalized algebraic Riccati equations. A simple a priori error bound in the gap metric is given.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15729
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14502
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othermodel reductionen
dc.subject.otherdescriptor systemsen
dc.subject.otherbalanced truncationen
dc.subject.othergeneralized algebraic Riccati equationsen
dc.subject.othergap metricen
dc.subject.othernormalized coprime factorizationen
dc.titleLinear-Quadratic Gaussian Balancing for Model Reduction of 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.issuenumber2011, 01en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200093B11 System structure simplificationen
tub.subject.msc200034A09 Implicit equations, differential-algebraic equationsen
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