Linear-Quadratic Gaussian Balancing for Model Reduction of Differential-Algebraic Systems
| dc.contributor.author | Möckel, Jens | |
| dc.contributor.author | Reis, Timo | |
| dc.contributor.author | Stykel, Tatjana | |
| dc.date.accessioned | 2021-12-17T10:09:57Z | |
| dc.date.available | 2021-12-17T10:09:57Z | |
| dc.date.issued | 2011-02-06 | |
| dc.description.abstract | We 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.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15729 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14502 | |
| 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 | model reduction | en |
| dc.subject.other | descriptor systems | en |
| dc.subject.other | balanced truncation | en |
| dc.subject.other | generalized algebraic Riccati equations | en |
| dc.subject.other | gap metric | en |
| dc.subject.other | normalized coprime factorization | en |
| dc.title | Linear-Quadratic Gaussian Balancing for Model Reduction of Differential-Algebraic Systems | 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 | 2011, 01 | 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 |