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 Universität Berlin | en |
tub.series.issuenumber | 2009, 27 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 93B11 System structure simplification | en |
tub.subject.msc2000 | 34A09 Implicit equations, differential-algebraic equations | en |