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Course info
KKY / MCT
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Course description
Department/Unit / Abbreviation
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KKY
/
MCT
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Mathematical Control Theory
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
5
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[Hours/Week]
Tutorial
1
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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YES
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Language of instruction
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English
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Occ/max
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|
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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1 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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English
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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KMA/SZMM
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The main objective of the course is to introduce basic concepts of control theory of both deterministic and stochastic systems, which are either continuous or discrete in time. The course is taught in English.
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Requirements on student
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written test, oral exam
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Content
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1. Systems and models, their classification, state-space representation, input-output representation
2. Linear systems - observability, controllability, state trajectory
3. Linear systems - stability, input-output behavior, equivalency of representations
4. Nonlinear systems - observability, controllability, state trajectory
5. Nonlinear systems - stability
6. Nonlinear systems - stability and input-output behavior
7. Stochastic models
8. Obtaining models by mathematical modelling and identification
9. State estimation
10. Optimal control, Pontryagin's minimum principle, Bellman's principle
11. LQ problem
12. LQG problem, separation theorem
13. Application in management and economic problems
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Graduate study programme term essay (40-50)
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40
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Contact hours
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40
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Preparation for an examination (30-60)
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50
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Total
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130
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
No particular prerequisites specified. |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
After finishing the course, the students will be able to explore controllability and observability of both linear and nonlinear dynamic deterministic systems, analyze behavior of the systems with respect to their stability, input-output relation and work with systems respecting uncertainty. The students will also be familiar with basic methods of system identification and optimal control of both deterministic and stochastic systems. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Oral exam |
Written exam |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture supplemented with a discussion |
Interactive lecture |
One-to-One tutorial |
Seminar classes |
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