Stud.IP Uni Oldenburg
University of Oldenburg
27.09.2023 00:49:17
inf300 - Hybrid Systems
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Module label Hybrid Systems
Modulkürzel inf300
Credit points 6.0 KP
Workload 180 h
Institute directory Department of Computing Science
Verwendbarkeit des Moduls
  • Master's Programme Computing Science (Master) > Technische Informatik
  • Master's Programme Computing Science (Master) > Theoretische Informatik
  • Master's Programme Engineering of Socio-Technical Systems (Master) > Embedded Brain Computer Interaction
  • Master's Programme Engineering of Socio-Technical Systems (Master) > Systems Engineering
Zuständige Personen
  • Fränzle, Martin Georg (Module responsibility)
  • Lehrenden, Die im Modul (Prüfungsberechtigt)
Skills to be acquired in this module
The module gives an introduction to hybrid discrete-continuous systems, as arising by embedding digital hardware into physical environments, and it elaborates on state of the art methods for the mathematical modelling and the analysis of such systems. It thus provides central competences for understanding and designing reliable cyber-physical systems.
Professional competence
The students:
  • characterise formal models of cyber-physical systems: hybrid automata, hybrid state transition systems
  • name domain-specific system requirements: safety, stability, robustness
  • name analysis methods: symbolic state-space exploration, abstraction and abstraction refinement, generalized Lyapunov-Methods
  • use state-of-the-art analysis tools
  • select and apply adequate modelling and analysis methods for concrete application scenarios
  • apply methods to reduce large state spaces and reduce infinite-state systems by abstraction
  • know the de-facto industry standards for system modelling and are able to apply the corresponding modelling framewortks and tools
Methodological competence
The students:
  • mtdel heterogeneous dynamical systems with adequate modelling and design tools, in particular Simulink/Stateflow
  • transfer modelling and analysis methods to other heterogeneous domains, e.g. socio-technical systems
Social competence
The students:
  • work in teams
  • solve complex modelling, design, and analysis tasks in teams
The students:
  • reflect their actions and respect the scope of methods dedicated to hybrid systems
Module contents
Embedded computer systems continuously interact with their environment, which generally comprises state- and time-continuous components.The coupling of the embedded system to its environment thus induces complex interleavings between discrete computational and decision processes and continuous processes. The resulting processes are neither amenable to the analytic techniques of continuous control nor of discrete mathematics. They instead require a broader, integrated theory: hybrid discrete-continuous systems.The lectures provide an in-depth introduction into a variety of analysis and design methods of these computer-based systems and their recent extensions to cyber-physical systems The accompanying hands-on-project enhances the lecture by developing and using design and verification tools.
  • Luca P Carloni, Roberto Passerone, Allesandro Pinto & Alberto L Sangiovanni-Vincentelli: Languages and Tools for Hybrid System design.World Scientific, 2006.
  • Wassim M. Haddad, VijaySekhar Chellaboina & Sergey G. Nersesov: Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control. Princeton University Press, 2006
  • Daniel Liberzon: Switching in Systems and Control. Birkhauser, 2003
  • Michael Huth, Mark Ryan: Logic in Computer Science: Modelling and Reasoning About Systems. Cambridge University Press, 2004.
  • Christel Baier, Joost-Pieter Katoen: Principles of Model Checking. MIT Press, 2008.
Languages of instruction English, German
Duration (semesters) 1 Semester
Module frequency annual
Module capacity unlimited
Modullevel / module level
Modulart / typ of module
Lehr-/Lernform / Teaching/Learning method 1V+ 1Ü
Vorkenntnisse / Previous knowledge Bachelor in Computing Science or knowledge of ordinary differential equations
The lecture assumes knowledge of modeling and analysis of reactive systems.
Form of instruction Comment SWS Frequency Workload of compulsory attendance
Lecture 3 SoSe 42
Exercises 1 SoSe 14
Präsenzzeit Modul insgesamt 56 h
Examination Prüfungszeiten Type of examination
Final exam of module
At the end of the lecture period
Semester project including written work and final presentation