Frequency Domain Methods and Decoupling of Linear Constant Coefficient Infinite Dimensional Differential Algebraic Systems
| dc.contributor.author | Reis, Timo | |
| dc.contributor.author | Tischendorf, Caren | |
| dc.date.accessioned | 2021-12-17T10:06:43Z | |
| dc.date.available | 2021-12-17T10:06:43Z | |
| dc.date.issued | 2005-01-13 | |
| dc.description.abstract | We discuss the analysis of constant coefficient linear differential algebraic equations $E\dot{x}(t)=Ax(t)+q(t)$ on infinite dimensional Hilbert spaces. We give solvability criteria of these systems which are mainly based on Laplace transformation. Furthermore, we investigate decoupling of these systems, motivated by the decoupling of finite dimensional differential algebraic systems by the Kronecker normal form. Applications are given by the analysis of mixed systems of ordinary differential, partial differential and differential algebraic equations. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15576 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14349 | |
| 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 | partial differential-algebraic equations | en |
| dc.subject.other | index | en |
| dc.subject.other | infinite dimensional linear system theory | en |
| dc.title | Frequency Domain Methods and Decoupling of Linear Constant Coefficient Infinite Dimensional Differential Algebraic 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 | 2005, 01 | 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 | 34A30 Linear equations and systems, general | en |
| tub.subject.msc2000 | 93A10 General systems | en |
| tub.subject.msc2000 | 34G10 Linear equations | en |
| tub.subject.msc2000 | 35E20 General theory | en |
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