Modeling of Systems and Processes

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Code	Completion	Credits	Range	Language
11MSP	Z,ZK	4	2P+2C+12B	Czech

Course guarantor:

Lucie Kárná, Bohumil Kovář, Jana Kuklová

Lecturer:

Lucie Kárná, Bohumil Kovář, Jana Kuklová

Tutor:

Lucie Kárná, Bohumil Kovář, Jana Kuklová

Supervisor:

Department of Applied Mathematics

Synopsis:

System and subsystem, external and internal system description, continuous and discrete system, mathematics as a tool, examples of formulation of differential and differential equations. Linear and nonlinear system, stationary and non-stationary system, causality. Convolutional integral. Laplace and Z transformations. Transfer function. Stability of LTI systems. Discretization of continuous systems. System interconnection.

Requirements:

Knowledge of vector and matrix algebra, complex numbers, properties of trigonometric, hyperbolic, exponential functions, calculation with infinite series, derivatives and integrals of functions of one variable []

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:

Oppenheim, A. V., Willsky, A. S., & Young, I. T. (1983). Signals and systems. Englewood Cliffs, N.J: Prentice-Hall.

McCLELLAN, J. H., SCHAFER, R. W., YODER, M. A. (2003): Signal processing first. Pearson, London.

KARBAN, P. (2006) Výpočty a simulace v programech Matlab a Simulink. Computer Press, Brno, 224 str.

***

Oppenheim A.V., Willsky A.S., Nawab S.H. (1997) Signals and Systems. Prentice Hall, Upper Saddle River, 2 edition.

Karban, P. (2006) Výpočty a simulace v programech Matlab a Simulink. Computer Press, Brno, 224 str.

Signal processing in Python (2018). SciPy and NumPy documentation [online]. Available from: https://docs.scipy.org/doc/scipy/reference/

Note:

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

	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	roomFL:309 Kovář B. 15:00–16:30 (lecture parallel1) Na Florenci 25
Tue	roomHO:B-109 Kárná L. 09:45–11:15 (parallel nr.251) Horská 3 (nová budova) roomHO:B-109 Kárná L. 11:30–13:00 (parallel nr.250) Horská 3 (nová budova) roomHO:A-270 Kárná L. 15:00–16:30 (parallel nr.260) Horská 3 (stará budova) roomHO:A-270 Kárná L. 13:15–14:45 (parallel nr.396) Horská 3 (stará budova)
Wed	roomHO:B-116 Kárná L. 16:45–18:15 (parallel nr.380) Horská 3 (nová budova)
Thu
Fri

The course is a part of the following study plans:

Bachelor PIL (CS) Full-Time from 2021/22 (compulsory course)
Bachelor TET-LOG Full-Time from 2022/23 (compulsory course in the program)
Bachelor PIL (CS) Full-Time from 2022/23 (compulsory course)
Bachelor TUL Full-Time from 2022/23 (compulsory course)
Bachelor TET-DOS Full-Time from 2022/23 (compulsory course)
Bachelor TET-LED Full-Time from 2022/23 (compulsory course)
Bachelor TUL Full-Time from 2023/24 (compulsory course)
Bachelor PIL (CS) Full-Time from 2023/24 (compulsory course)
Bachelor TET-DOS Full-Time from 2023/24 (compulsory course)
Bachelor TET-LOG Full-Time from 2023/24 (compulsory course in the program)
Bachelor TET-LED Full-Time from 2023/24 (compulsory course)
Bachelor TET-DOS Full-Time from 2024/25 (compulsory course)
Bachelor TET-LED Full-Time from 2024/25 (compulsory course)
Bachelor TET-LOG Full-Time from 2024/25 (compulsory course in the program)
Bachelor TET-LOG Part-Time from 2025/26 (compulsory course in the program)
Bachelor PIL (CS) Full-Time from 2024/25 (compulsory course)
Bachelor TUL Full-Time from 2024/25 (compulsory course)