Port-Hamiltonian descriptor systems
| dc.contributor.author | Beattie, Christopher | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.contributor.author | Xu, Hongguo | |
| dc.contributor.author | Zwart, Hans | |
| dc.date.accessioned | 2021-12-17T10:14:59Z | |
| dc.date.available | 2021-12-17T10:14:59Z | |
| dc.date.issued | 2017-05-29 | |
| dc.description.abstract | The modeling framework of port-Hamiltonian systems is systematically extended to constrained dynamical systems (descriptor systems, differential-algebraic equations). A new algebraically and geometrically defined system structure is derived. It is shown that this structure is invariant under equivalence transformations, and that it is adequate also for the modeling of high-index descriptor systems. The regularization procedure for descriptor systems to make them suitable for simulation and control is modified to deal with the port-Hamiltonian structure. The relevance of the new structure is demonstrated with several examples. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15891 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14664 | |
| 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 | differential-algebraic equation | en |
| dc.subject.other | passivity | en |
| dc.subject.other | stability | en |
| dc.subject.other | system transformation | en |
| dc.subject.other | differentiation-index | en |
| dc.subject.other | strangeness-index | en |
| dc.subject.other | skew-adjoint operator | en |
| dc.title | Port-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 | 2017, 06 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 93A30 Mathematical modeling | en |
| tub.subject.msc2000 | 93B11 System structure simplification | en |
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