Positive real and bounded real balancing for model reduction of descriptor systems
| dc.contributor.author | Reis, Timo | |
| dc.contributor.author | Stykel, Tatjana | |
| dc.date.accessioned | 2021-12-17T10:07:48Z | |
| dc.date.available | 2021-12-17T10:07:48Z | |
| dc.date.issued | 2008-06-27 | |
| dc.description.abstract | We present an extension of the positive real and bounded real balanced truncation model reduction methods to large-scale descriptor systems. These methods are based on balancing the solutions of the projected Lur'e matrix equations. Important properties of these methods are that, respectively, passivity and contractivity are preserved in the reduced-order models and that there exist approximation error bounds. We also discuss the numerical solution of the projected Lur'e equations. Numerical examples are given. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15634 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14407 | |
| 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 | descriptor systems | en |
| dc.subject.other | passivity | en |
| dc.subject.other | contractivity | en |
| dc.subject.other | positive real | en |
| dc.subject.other | bounded real | en |
| dc.subject.other | model reduction | en |
| dc.subject.other | balanced truncation | en |
| dc.subject.other | Lur'e equations | en |
| dc.title | Positive real and bounded real balancing for model reduction of descriptor 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 | 2008, 25 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 34A09 Implicit equations, differential-algebraic equations | en |
| tub.subject.msc2000 | 93C05 Linear systems | en |
| tub.subject.msc2000 | 15A22 Matrix pencils | en |
| tub.subject.msc2000 | 15A24 Matrix equations and identities | en |