Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-15669
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dc.contributor.authorReis, Timo
dc.contributor.authorStykel, Tatjana
dc.date.accessioned2022-05-11T12:11:39Z-
dc.date.available2022-05-11T12:11:39Z-
dc.date.issued2008-12-01
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/16891-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-15669-
dc.description.abstractWe present a passivity-preserving balanced truncation model reduction method for differential-algebraic equations arising in circuit simulation. This method is based on balancing the solutions of projected Lur'e equations. By making use of the special structure of circuit equations, we can reduce the numerical effort for balanced truncation significantly. It is shown that the property of reciprocity is also preserved in the reduced-order model. Network topological interpretations of certain circuit effects are given. The presented theory is illustrated by a numerical example.en
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc510 Mathematiken
dc.subject.otherbalanced truncationen
dc.subject.otherbounded realen
dc.subject.otherelectrical circuitsen
dc.subject.otherLur'e equationsen
dc.subject.othermodel reductionen
dc.subject.otherpassivityen
dc.subject.otherpositive realen
dc.subject.otherprojectorsen
dc.subject.otherreciprocityen
dc.subject.otherRiccati equationsen
dc.titlePassivity-preserving balanced truncation for electrical circuitsen
dc.typeResearch Paperen
tub.accessrights.dnbfree
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2008, 32en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
dc.type.versionsubmittedVersionen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200034A09 Implicit equations, differential-algebraic equationsen
tub.subject.msc200015A24 Matrix equations and identitiesen
Appears in Collections:Technische Universität Berlin » Publications

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