Regular solutions of DAE hybrid systems and regularization techniques
| dc.contributor.author | Kunkel, Peter | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.date.accessioned | 2021-12-17T10:15:01Z | |
| dc.date.available | 2021-12-17T10:15:01Z | |
| dc.date.issued | 2017-04-19 | |
| dc.description.abstract | The solvability and regularity of hybrid differential-algebraic systems (DAEs) is studied, and classical stability estimates are extended to hybrid DAE systems. Different reasons for non-regularity are discussed and appropriate regularization techniques are presented. This includes a generalization of Filippov regularization in the case of so-called chattering. The results are illustrated by several numerical examples. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15892 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14665 | |
| 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 | differential-algebraic equation | en |
| dc.subject.other | hybrid system | en |
| dc.subject.other | switched system | en |
| dc.subject.other | index reduction | en |
| dc.subject.other | existence and uniqueness of solutions | en |
| dc.subject.other | Filippov regularization | en |
| dc.subject.other | strangeness index | en |
| dc.subject.other | chattering | en |
| dc.title | Regular solutions of DAE hybrid systems and regularization techniques | 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 | 2017, 05 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 34K34 Hybrid systems | en |
| tub.subject.msc2000 | 34K28 Numerical approximation of solutions | en |
| tub.subject.msc2000 | 65L80 Methods for differential-algebraic equations | en |
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