Course detail

Theory of Dynamic Systems

FEKT-MPA-TDSAcad. year: 2022/2023

System approach for solving technical problems. Cybernetics and system science .I/O and state space approach to the analysis and design of dynamic systems. Continuous,discrete, linear, non linear,time constant and time variable systems. Controlability and observability. State observers. Deterministic and stochastic systems.

Offered to foreign students

Of all faculties

Learning outcomes of the course unit

After passing the course, the student is able to:
- demonstrate and explain the difference between state space and input output description of the system
- explain the concept of causality, realizability, reachability, controlability, observability and reconstructability of the system
- identify and approximate basic types of dynamic systems and discretize the system
- apply the principles of block algebra and Mason’s gain rule for the evaluation of the system’s transfer function
- design the state observer and state feedback


The subject knowledge on the Bachelor´s degree level is requested.


Not applicable.

Recommended optional programme components

Not applicable.


Ogata, K.: Modern Control Engineering, Fifth edition. Prentice Hall, 2010, ISBN 10: 0-13-615673-8. (EN)

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations. Materials for lectures and exercises are available for students from web pages of the course. Students have to write a single project/assignment during the course.

Assesment methods and criteria linked to learning outcomes

70% final written exam
30% from activities in numerical examples

Language of instruction


Work placements

Not applicable.

Course curriculum

1. Dynamic systems - definition and subdivision.
2. Different types of system description: input-output, transfer function, frequency response, polynomials.
3. Modeling of dynamical systems in MATLAB Simulink.
4. Stability of linear and nonlinear systems.
5. State space description, state equations, their solution.
6. Model realization: serial, parallel, direct programming. Canonical forms.
7. Controllability, reachability, observability, reconstruct-ability of systems.
8. Block algebra. Masons’s gain rule for transfer function computation.
9. State feedback controller.
10. State observers.
11. Methods of continuous time system discretization.
12. Stability of interval polynomials.
13. Reserve, review.


The aim of the course is to introduce general system theory and its application to dynamic systems and systemic approach towards control tasks solution.

Specification of controlled education, way of implementation and compensation for absences

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Classification of course in study plans

  • Programme MPA-CAN Master's, any year of study, winter semester, 6 credits, elective
  • Programme MPAD-CAN Master's, any year of study, winter semester, 6 credits, elective
  • Programme MPA-SAP Master's, any year of study, winter semester, 6 credits, elective

Type of course unit



39 hours, compulsory

Teacher / Lecturer

Fundamentals seminar

14 hours, compulsory

Teacher / Lecturer

Exercise in computer lab

12 hours, compulsory

Teacher / Lecturer


eLearning: opened course