Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-82-16-M-7

Infinite Dimensional Systems and Control Theory (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-82-16-M-7 Infinite Dimensional Systems and Control Theory 4.5 CP (135 h)

Basedata

CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Module Manager
Lecturers
Area of study [MAT-TEMA] Industrial Mathematics
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V MAT-82-16-K-7
Infinite Dimensional Systems and Control Theory
P 28 h 107 h - - PL1 4.5 irreg.
  • About [MAT-82-16-K-7]: Title: "Infinite Dimensional Systems and Control Theory"; Presence-Time: 28 h; Self-Study: 107 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: irregular (by arrangement)
  • Examination number: 86254 ("Infinite Dimensional Control Theory")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

Basic notions and concepts of infinte dimensional control theory will be discussed. In particular, the following topics will be covered:
  • Semigroups of operators,
  • Port-Hamiltonian Systems,
  • Stability theory for infinite dimensional systems and Port-Hamiltonian systems,
  • Inhomogenous abstract Cauchy problems and it's stability,
  • Systems with boundary control,
  • Applications.

Competencies / intended learning achievements

Upon successful completion of this module, the students are able to analyze the solution behavior and stability of abstract Cauchy problems and Port Hamiltonian systems. They have studied examples which can be analyzed by applying infinite dimensional control theory and they can critically assess the possibilities and limitations of the use of these methods. They understand the proofs presented in the lecture and are able to comprehend and explain them. In particular, they are able to outline the conditions and assumptions that are necessary for the validity of the statements.

Literature

B. Jacob, H. Zwart: Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces.

Requirements for attendance of the module (informal)

Modules:

Requirements for attendance of the module (formal)

None

References to Module / Module Number [MAT-82-16-M-7]

Module-Pool Name
[MAT-82-MPOOL-7] Specialisation Systems and Control Theory (M.Sc.)
[MAT-8x-MPOOL-7] Specialisation Modelling and Scientific Computing (M.Sc.)
[MAT-AM-MPOOL-7] Applied Mathematics (Advanced Modules M.Sc.)
[MAT-RM-MPOOL-7] Pure Mathematics (Advanced Modules M.Sc.)