# Lyapunov balancing for passivity-preserving model reduction of RC circuits

 dc.contributor.author Reis, Timo dc.contributor.author Stykel, Tatjana dc.date.accessioned 2021-12-17T10:08:13Z dc.date.available 2021-12-17T10:08:13Z dc.date.issued 2009-12-10 dc.description.abstract We 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.issn 2197-8085 dc.identifier.uri https://depositonce.tu-berlin.de/handle/11303/15655 dc.identifier.uri http://dx.doi.org/10.14279/depositonce-14428 dc.language.iso en en dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/ en dc.subject.ddc 510 Mathematik en dc.subject.other balanced truncation en dc.subject.other electrical circuits en dc.subject.other Lyapunov equations en dc.subject.other model reduction en dc.subject.other passivity en dc.subject.other positive real en dc.subject.other projectors en dc.subject.other reciprocity en dc.subject.other symmetric systems en dc.subject.other differential-algebraic equations en dc.title Lyapunov balancing for passivity-preserving model reduction of RC circuits en dc.type Research Paper en dc.type.version submittedVersion en tub.accessrights.dnb free en tub.affiliation Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik de tub.affiliation.faculty Fak. 2 Mathematik und Naturwissenschaften de tub.affiliation.institute Inst. Mathematik de tub.publisher.universityorinstitution Technische UniversitÃ¤t Berlin en tub.series.issuenumber 2009, 27 en tub.series.name Preprint-Reihe des Instituts fÃ¼r Mathematik, Technische UniversitÃ¤t Berlin en tub.subject.msc2000 93B11 System structure simplification en tub.subject.msc2000 34A09 Implicit equations, differential-algebraic equations en

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