Systems Theory

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Code Completion Credits Range Language
NIE-TES Z,ZK 5 2P+1C English
Garant předmětu:
Stefan Ratschan
Stefan Ratschan
Tomáš Kolárik, Stefan Ratschan
Department of Digital Design

Today, humankind has the ability to develop systems of incredible complexity (e.g., trains, microprocessors, airplanes, nuclear power plants). However, the costs of managing this complexity and of ensuring the correct behavior of a given system have become critical. A key technique for mastering this complexity is the usage of models that describe only those aspects of the systems that are important for the task at hand, and automated tools for analyzing those models. This subject will present theory and algorithms that form the basis for the modeling and analysis of complex systems.



Syllabus of lectures:

1. System theory introduction.

2. Logical basics.

3. Systems and automata.

4. Interacting system components.

5. Temporal logics.

6. Testing and bounded model checking.

7. Boolean satisfiability (SAT).

8. Unbounded model checking.

9. Petri nets.

10. Timed automata.

11. Modeling the physical environment.

12. Probabilistic models.

13. Simulation and control of system models.

Syllabus of tutorials:

Improving the understanding of the subject by solving example problems using pen and paper.

Study Objective:

The student will have the ability to use and apply some of the most important formalisms for modeling complex systems. He/she will also be familiar with techniques for the automatic analysis of such models.

Study materials:

1. Lee, E. A. - Seshia, S. A. : Introduction to Embedded Systems, A Cyber-Physical Systems Approach (2nd

Edition). MIT Press, 2017. ISBN 978-0-262-53381-2.

2. Clarke, E. M. - Henzinger, Th.A. - Veith, H. - Bloem, R. (Eds.) : Handbook of Model Checking. Springer,

2018. ISBN 978-3-319-10574-1.

3. Alur, R. : Principles of Cyber-Physical Systems. MIT Press, 2015. ISBN 978-0-262-02911-7.

Time-table for winter semester 2024/2025:
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Time-table for summer semester 2024/2025:
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The course is a part of the following study plans:
Data valid to 2024-04-13
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