Modeling of Systems and Processes

Course guarantor:

Bohumil Kovář

Lecturer:

Bohumil Kovář

Tutor:

Bohumil Kovář

Supervisor:

Department of Applied Mathematics

Synopsis:

Mathematical methods and algorithms as a basis for system analysis. Methods for modelling and evaluating the systems in continuous and discrete time domain. Laplace transform, z-transform, and the recursive algorithms in solution of differential and difference equations, as an instrument for system description. Practical use of technical computing environment (MATLAB).

Requirements:

Fundamentals of vectors and matrices, complex numbers and functions of complex variables, properties of trigonometric, hyperbolic and exponential functions.

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Use of Laplace transform and z-transform for solving difference equations representing discrete linear systems, state space description of a given dynamic system, application of the concept of stability.

Study materials:

Carlson, G. E.: Signal and Linear System Analysis with MATLAB, John Wileys and Sons., Inc. 1998

Chaturvedi, D. K.: Modeling and Simulation of Systems Using MATLAB and Simulink, CRC Press, Taylor&Francis Group, 2010, ISBN 978-1-4398-0672-2, 709 s.

Note:

Time-table for winter semester 2025/2026:

Time-table is not available yet

Time-table for summer semester 2025/2026:

	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	roomHO:B-304 Kovář B. 15:00–16:30 (lecture parallel384) Horská 3 (nová budova) roomHO:B-116 Kovář B. 16:45–18:15 (parallel nr.384) Horská 3 (nová budova)
Wed
Thu
Fri

The course is a part of the following study plans:

• Bachelor PIL (EN) Full-Time from 2022/23 (compulsory course)
• Bachelor PIL (EN) Full-Time from 2023/24 (compulsory course)
• Bachelor PIL (EN) Full-Time from 2024/25 (compulsory course)
• Bachelor PIL (EN) Full-Time from 2024/25 (compulsory course)