Robust stability of differential-algebraic equations
| dc.contributor.author | Du, Nguyen Huu | |
| dc.contributor.author | Linh, Vu Hoang | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.date.accessioned | 2021-12-17T10:10:03Z | |
| dc.date.available | 2021-12-17T10:10:03Z | |
| dc.date.issued | 2012-10-24 | |
| dc.description.abstract | This paper presents a survey of recent results on the robust stability analysis and the distance to instability for linear time-invariant and time-varying differential-algebraic equations (DAEs). Different stability concepts such as exponential and asymptotic stability are studied and their robustness is analyzed under general as well as restricted sets of real or complex perturbations. Formulas for the distances are presented whenever these are available and the continuity of the distances in terms of the data is discussed. Some open problems and challenges are indicated. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15733 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14506 | |
| 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 | robust stability | en |
| dc.subject.other | stability radius | en |
| dc.subject.other | spectrum | en |
| dc.subject.other | spectral set | en |
| dc.subject.other | restricted perturbation | en |
| dc.title | Robust stability of differential-algebraic equations | 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 | 2012, 35 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 93B35 Sensitivity | en |
| tub.subject.msc2000 | 93D09 Robust stability | en |
| tub.subject.msc2000 | 34A09 Implicit equations, differential-algebraic equations | en |
| tub.subject.msc2000 | 34D10 Perturbations | en |
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