Logo ČVUT
Loading...
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
Faculties | School elective courses | ECTS courses catalogue | Settings | Česká verze
Welcome page > Faculty of Transportation Sciences > Department of Applied Mathematics > Modeling of Systems and Processes

Modeling of Systems and Processes

The course is not on the list Without time-table
Code Completion Credits Range Language
11MSP Z,ZK 4 2P+2C+12B Czech
Garant předmětu:
Lecturer:
Tutor:
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:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2023-09-28
Copyright © Jiří Kosek, 2010–2022 | Copyright © ČVUT, 2010–2022
Hosted by Výpočetní a informační centrum ČVUT
Send your questions and comments to HelpDesk ČVUT or to spravcekos@cvut.cz
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet23322205.html