Modeling of Systems and Processes

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.

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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:

• PIL bak.prez.19/20 (compulsory course)
• TUL bak.prez.19/20 (compulsory course)
• PIL bak.prez.20/21 (compulsory course)
• TUL bak.prez.20/21 (compulsory course)
• TUL bak.prez.21/22 (compulsory course)
• DOS bak.prez.21/22 (compulsory course in the program)
• LED bak.prez.21/22 (compulsory course)
• TUL bak.prez.22/23 (program TUL) (compulsory course)