Lyapunov balancing for passivity-preserving model reduction of RC circuits

dc.contributor.authorReis, Timo
dc.contributor.authorStykel, Tatjana
dc.date.accessioned2021-12-17T10:08:13Z
dc.date.available2021-12-17T10:08:13Z
dc.date.issued2009-12-10
dc.description.abstractWe apply Lyapunov-based balanced truncation model reduction method to differential-algebraic equations arising in modeling of RC circuits. This method is based on diagonalizing the solution of one projected Lyapunov equation. It is shown that this method preserves passivity and delivers an error bound. By making use of the special structure of circuit equations, we can reduce the numerical effort for balanced truncation drastically.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15655
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14428
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherbalanced truncationen
dc.subject.otherelectrical circuitsen
dc.subject.otherLyapunov equationsen
dc.subject.othermodel reductionen
dc.subject.otherpassivityen
dc.subject.otherpositive realen
dc.subject.otherprojectorsen
dc.subject.otherreciprocityen
dc.subject.othersymmetric systemsen
dc.subject.otherdifferential-algebraic equationsen
dc.titleLyapunov balancing for passivity-preserving model reduction of RC circuitsen
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.issuenumber2009, 27en
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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