Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-80-12B-M-7

Systems and Control Theory: Advanced Topics (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-80-12B-M-7 Systems and Control Theory: Advanced Topics 4.5 CP (135 h)


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


This module is part of the module [MAT-80-12-M-6].


Type/SWS Course Number Title Choice in
Presence-Time /
SL SL is
required for exa.
PL CP Sem.
2V+1U MAT-80-12B-K-7
Systems and Control Theory: Advanced Topics
P 42 h 93 h - - PL1 4.5 irreg.
  • About [MAT-80-12B-K-7]: Title: "Systems and Control Theory: Advanced Topics"; Presence-Time: 42 h; Self-Study: 93 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: irregular (by arrangement)
  • Examination number: 86412 ("Systems and Control Theory: Advanced Topics")

Evaluation of grades

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


This course deals with the more advanced topics in control theory and its applications. In particular, the following topics are covered:
  • extended state space and behaviour theory,
  • control concepts,
  • transfer functions and realisation theory,
  • polynomial system models.

Competencies / intended learning achievements

Upon successful completion of this module, the students know and understand advanced concepts for the description of dynamic systems as well as mathematical techniques for the analysis of these systems and for the design of controllers. Furthermore, they are familiar with the application possibilities resulting from the use of mathematical control theory. They understand the proofs presented in the lecture and are able to reproduce and explain them.

By completing the given exercises, the students have developed a skilled, precise and independent handling of the terms, propositions and techniques taught in the lecture. In addition, they have learnt how to apply these techniques to new problems, analyze them and develop solution strategies independently or by team work.


  • E. Zerz: Introduction to Systems and Control Theory,
  • J.W. Polderman, J. Willems: Introduction to Mathematical Systems Theory,
  • H.W. Knobloch, H. Kwakernaak: Lineare Kontrolltheorie,
  • D. Hinrichsen, A.J. Pritchard: Mathematical Systems Theory I,
  • E.D. Sontag: Mathematical Control Theory.


Registration for the exercise classes via the online administration system URM (

References to Module / Module Number [MAT-80-12B-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.)