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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Systems Theory

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Code Completion Credits Range Language
MI-TES.16 Z,ZK 5 2P+1C Czech
Lecturer:
Stefan Ratschan (guarantor)
Tutor:
Stefan Ratschan (guarantor), Martin Daňhel, Tomáš Kolárik
Supervisor:
Department of Digital Design
Synopsis:

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.

Requirements:
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:

Practical training of the lecture material.

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:

Edward A. Lee and Sanjit A. Seshia: Introduction to Embedded Systems, A Cyber-Physical Systems Approach, Second Edition, MIT Press, ISBN 978-0-262-53381-2, 2017. http://leeseshia.org/

Edmund M. Clarke, Orna Grumberg, and Doron A. Peled. Model Checking. MIT Press, 1999.

Edward A. Lee and Pravin Varaiya, Structure and Interpretation of Signals and Systems, Second Edition, LeeVaraiya.org, ISBN 978-0-578-07719-2, 2011.

Note:
Further information:
https://moodle-vyuka.cvut.cz/course/view.php?id=2215
Time-table for winter semester 2019/2020:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Fri
roomTH:A-s134
Ratschan S.
11:00–12:30
(lecture parallel1)
Thákurova 7 (FSv-budova A)
As134
roomTH:A-1242
Kolárik T.
12:45–14:15
EVEN WEEK

(lecture parallel1
parallel nr.102)

Thákurova 7 (FSv-budova A)
roomTH:A-1242
Kolárik T.
14:30–16:00
ODD WEEK

(lecture parallel1
parallel nr.103)

Thákurova 7 (FSv-budova A)
Thu
Fri
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-07-05
For updated information see http://bilakniha.cvut.cz/en/predmet4657206.html