Mathematical Systems Theory of Infinite Dimensional Systems - Interactive curriculae of TU Ilmenau
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| module properties module number 200427 - common information | |
|---|---|
| module number | 200427 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2416 (Analysis and Dynamical Systems) |
| module leader | Prof. Dr. Timo Reis |
| language | Deutsch/Englisch |
| term | Sommersemester |
| previous knowledge and experience | Analysis, lineare Algebra, Funktionalanalysis, Grundkenntnisse der mathematischen Systemtheorie |
| learning outcome | Die Studierenden können nach der Vorlesung beschreiben, wie grundlegende systemtheoretische Grundbegriffe (z. B. Stabilität) auf den unendlich dimensionalen Fall übertragen werden. Sie kennen operatortheoretische Grundkonzepte, wie z. B. stark stetiger Halbgruppen. Die Studierenden können nach den Übungen erläutern, wie diese Konzepte auf Port-Hamiltonsche Systeme Anwendung finden. |
| content | Beherrschung der grundlegenden Begriffe der unendlich dimensionalen mathematischen Systemtheorie sowie der für ihr Verständnis notwendigen operatortheoretischen Grundlagen; Fähigkeit, die allgemeinen Resultate auf Spezialfälle anzuwenden; Anwendung auf Port-Hamiltonsche Systeme. |
| media of instruction and technical requirements for education and examination in case of online participation | Tafel, Arbeitsblätter |
| literature / references | A. Bensoussan, G. Da Prato, M.C. Delfour und S. Mitter: Representation and Control of Infinite Dimensional Systems, Birkhäuser: Systems & Control: Foundations & Applicatiosn, 2007. Ruth F. Curtain und Hans Zwart: An Introduction to Infinite-Dimensional Linear Systems Theory, Springer: Texts in Applied Mathematics, 1995. Birgit Jacob und Hans Zwart: Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces, Birkhäuser: Operator Theory: Advances and Applications 223, 1. Auflage, 2012. |
| evaluation of teaching | |
| Details reference subject | |
|---|---|
| module name | Mathematical Systems Theory of Infinite Dimensional Systems |
| examination number | 2400779 |
| credit points | 5 |
| SWS | 3 (2 V, 1 Ü, 0 P) |
| on-campus program (h) | 33.75 |
| self-study (h) | 116.25 |
| obligation | obligatory module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | |
| teacher | |
| signup details for alternative examinations | |
| maximum number of participants | |