Course detail

Theory of Dynamic Systems

FEKT-LTDSAcad. year: 2017/2018

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 recontructors. Deterministic and stochastic systems. Algebraic approach. SISO and MIMO systems. Parameter estimation in closed loop. System robustness, sesitivity analysis, basics of algebraic approach towards controller design for dynamic systems.

Learning outcomes of the course unit

Ability to solve system problems by modern tools of system theory and science.


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


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

P.Vavřín: Teorie dynamických systémů, VUT 1990 (CS)
L.Štecha: Teorie dynamických systémů, Skriptum ČVUT (CS)

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

30% from homeworks and activities in numerical exercises
70% final written exam

Language of instruction


Work placements

Not applicable.

Course curriculum

1. Dynamic system definition and divison.
2. Different types of system description: input output, transfer function, frequency response, polynomials.
3. State space description, state equations, their solution. Modeling of dynamical systems in Matlab Simulink.
4. Model realization: serial, parallel, direct programming.
5. Canonical forms: Frobenius, Jordan. Controlability, reachebility, observability, reconstructability of systems.
6. State estimators. Intelligent control algoritms.
7. Identification and approximation of dynamic systems. Discretization of continuous systems.
8. Hybrid systems solution. Optimal and suboptimal systems.
9. Multivariable feedback systems.
10. Adaptive control and intelligent controllers.


To present general system science and its application on dynamic systems.Applied system science.

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 EEKR-ML Master's

    branch ML-KAM , 1. year of study, winter semester, 6 credits, compulsory

  • Programme EEKR-ML1 Master's

    branch ML1-KAM , 1. year of study, winter semester, 6 credits, compulsory

  • Programme EEKR-CZV lifelong learning

    branch ET-CZV , 1. year of study, winter semester, 6 credits, compulsory

Type of course unit



39 hours, optionally

Teacher / Lecturer

Fundamentals seminar

12 hours, compulsory

Teacher / Lecturer

Exercise in computer lab

12 hours, compulsory

Teacher / Lecturer

The other activities

2 hours, compulsory

Teacher / Lecturer