Linear algebra properties of dissipative Hamiltonian descriptor systems
| dc.contributor.author | Mehl, Christian | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.contributor.author | Wojtylak, Michal | |
| dc.date.accessioned | 2021-12-17T10:15:43Z | |
| dc.date.available | 2021-12-17T10:15:43Z | |
| dc.date.issued | 2018-01-06 | |
| dc.description.abstract | A wide class of matrix pencils connected with dissipative Hamiltonian descriptor systems is investigated. In particular, the following properties are shown: all eigenvalues are in the closed left half plane, the nonzero finite eigenvalues on the imaginary axis are semisimple, the index is at most two, and there are restrictions for the possible left and right minimal indices. For the case that the eigenvalue zero is not semisimple, a structure-preserving method is presented that perturbs the given system into a Lyapunov stable system. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15911 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14684 | |
| 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 | port Hamiltonian system | en |
| dc.subject.other | descriptor system | en |
| dc.subject.other | dissipative Hamiltonian system | en |
| dc.subject.other | matrix pencil | en |
| dc.subject.other | singular pencil | en |
| dc.subject.other | Kronecker canonical form | en |
| dc.subject.other | Lyapunov stability | en |
| dc.title | Linear algebra properties of dissipative Hamiltonian 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 | 2018, 01 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 15A18 Eigenvalues, singular values, and eigenvectors | en |
| tub.subject.msc2000 | 15A21 Canonical forms, reductions, classification | en |
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