Technische Universität Ilmenau

Mathematical Systems Theory of Infinite Dimensional Systems - Modultafeln of TU Ilmenau

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module properties module number 200427 - common information
module number200427
departmentDepartment of Mathematics and Natural Sciences
ID of group2416 (Analysis and Dynamical Systems)
module leaderProf. Dr. Achim Ilchmann
languageDeutsch/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 nameMathematical Systems Theory of Infinite Dimensional Systems
examination number2400779
credit points5
SWS3 (2 V, 1 Ü, 0 P)
on-campus program (h)33.75
self-study (h)116.25
obligationobligatory module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Bachelor Mathematik 2021, Master Technische Kybernetik und Systemtheorie 2021
module nameMathematical Systems Theory of Infinite Dimensional Systems
examination number2400779
credit points5
on-campus program (h)34
self-study (h)116
obligationelective module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants