Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MV

Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020, bzw. am 13.01.2021 verabschiedet.


Module MV-MEC-M169-M-4

Hybrid and discrete-event dynamical systems (M, 5.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MV-MEC-M169-M-4 Hybrid and discrete-event dynamical systems 5.0 CP (150 h)


CP, Effort 5.0 CP = 150 h
Position of the semester 1 Sem. in WiSe
Level [4] Bachelor (Specialization)
Language [EN] English
Module Manager
Area of study [MV-MEC] Mechatronics in Mechanical and Automotive Engineering
Reference course of study [MV-88.235-SG] M.Sc. Vehicle Engineering
Livecycle-State [NORM] Active


Type/SWS Course Number Title Choice in
Presence-Time /
SL SL is
required for exa.
PL CP Sem.
2V+1U MV-MEC-86691-K-4
Hybrid and discrete-event dynamical systems
P 42 h 108 h - - PL1 5.0 WiSe
  • About [MV-MEC-86691-K-4]: Title: "Hybrid and discrete-event dynamical systems"; Presence-Time: 42 h; Self-Study: 108 h

Examination achievement PL1

  • Form of examination: oral examination (30-45 Min.)
  • Examination Frequency: each semester
  • Examination number: 10175 ("Hybrid and discrete-event dynamical systems")

Evaluation of grades

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


  • Systems and realizations;
  • Finite systems, Discrete automata and Petri nets;
  • Supervisory control;
  • Infinite systems, Hybrid automata and Petrinets;
  • Reachability;
  • (Bi-)Simulation, Control and verification;
  • Algebraic and Symbolic approaches;
  • Special system classes: Timed automata, Max-Plus Algebra, Mixed logic dynamics;
  • Switching systems.

Competencies / intended learning achievements

1. Lecture:

Hybrid systems form the frontier between continuous and discrete-event dynamical systems. Most processes in systems biology, information and communication technology, as well as industrial automation technology, process engineering, manufacturing, logistics, etc., exhibit a hybrid nature. The description of complex technical systems and decision processes underlies hybrid control theory, which is characterized by a coupling of time- and event-driven mechanisms or continuous and discrete state spaces. The resulting dynamic behaviour patterns are conceivably rich. The lecture teaches basic concepts and mathematical tools for the analysis and synthesis of such dynamical effects and systems, which still form a research focus of control theory after more than three decades of research.

2. Exercise:

Students will be able to understand the concepts of modelling and design methodology using simple examples.


  • Lunze, J.: “Ereignisdiskrete Systeme: Modellierung und Analyse dynamischer Systeme mit Automaten, Markovketten und Petrinetzen”. Oldenburg Wissenschaftsverlag, 2006.
  • John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman: “Introduction to Automata Theory, Languages, and Computation”. Addison Wesley Pub Co Inc, 2006.
  • Tabuada, P.: “Verification and Control of Hybrid Systems”. Springer, 2009.
  • Cassandras, C.; Lafortune, S.:“Introduction to Discrete Event Systems”. Springer, 2008.
  • Goebel, R.; Sanfelice, R.G.; Teel, A.R.: : “Hybrid Dynamical Systems”. Princeton University Press, 2012.
  • Lunze, J.; Lamnabhi-Lagarrigue, F. (Eds.): “Handbook of Hybrid Systems Control: Theory, Tools, Applications”. 2009.

Requirements for attendance of the module (informal)

Advanced mathematics lectures

Requirements for attendance of the module (formal)


References to Module / Module Number [MV-MEC-M169-M-4]

Module-Pool Name
[EIT-AC-MSC-TW-MPOOL-7] General Elective Modules Master A&C
[MV-ALLG-2022-MPOOL-6] Wahlpflichtmodule Master allgemein 2022
[MV-ALL-MPOOL-6] Wahlpflichtmodule allgemein
[MV-BioVT-MPOOL-6] Wahlpflichtmodule Bioverfahrenstechnik
[MV-EVT-2022-MPOOL-6] Wahlpflichtmodule M.Sc. EVT 2022
[MV-EVT-MPOOL-6] Wahlplichtmodule Energie- und Verfahrenstechnik
[MV-FT-2022-MPOOL-6] Wahlpflichtmodule M.Sc. Fahrzeugtechnik 2022
[MV-FT-MPOOL-6] Wahlpflichtmodule Fahrzeugtechnik
[MV-MB-INF-2022-MPOOL-6] Wahlpflichtmodule M.Sc. Maschinenbau mit angewandter Informatik 2022
[MV-MBINFO-MPOOL-6] Wahlpflichtmodule Maschinenbau mit angewandter Informatik
[MV-MV-SIAK-DT-CSIT-MPOOL-6] SIAK Zertifikat "Digitale Transformation" - Module MV "Computer Science & IT"