470-2104/02 – Mathematical Analysis of Control Systems (MARS)

Gurantor departmentDepartment of Applied MathematicsCredits2
Subject guarantorprof. RNDr. Jiří Bouchala, Ph.D.Subject version guarantorprof. RNDr. Jiří Bouchala, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year2Semestersummer
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor, Follow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOU10 prof. RNDr. Jiří Bouchala, Ph.D.
KRA04 Mgr. Bohumil Krajc, Ph.D.
SIM46 Mgr. Lenka Přibylová
VLA04 Ing. Oldřich Vlach, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 0+2
Combined Graded credit 0+10

Subject aims expressed by acquired skills and competences

In this course the students will learn basic tools for the solution and analysis of linear ordinary differential equations and their systems.

Teaching methods

Lectures
Tutorials

Summary

The course covers principles of theory of linear ordinary differential equations and their systems.

Compulsory literature:

W. E. Boyce, R. C. DiPrima: Elementary differential equations. Wiley, New York 1992 M. Braun: Differential Equations and Their Applications. Springer, Berlin 1978.

Recommended literature:

W. E. Boyce, R. C. DiPrima: Elementary differential equations. Wiley, New York 1992 M. Braun: Differential Equations and Their Applications. Springer, Berlin 1978.

Way of continuous check of knowledge in the course of semester

Podmínky udělení zápočtu: Podmínkou získání klasifikovaného zápočtu bude úspěšné absolvování závěrečného testu.

E-learning

Další požadavky na studenta

No additional requirements are imposed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Differential Equations and Models. Geometrical Interpretation. Linear Equations. Linear Systems. Stability. Laplace Transform. Difference Equations. Z-Transform.

Conditions for subject completion

Combined form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded credit Graded credit 100  51
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Choice-compulsory study plan
2019/2020 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Choice-compulsory study plan
2019/2020 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P English Ostrava 1 Choice-compulsory study plan
2019/2020 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K English Ostrava 1 Choice-compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Choice-compulsory study plan
2018/2019 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Choice-compulsory study plan
2018/2019 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P English Ostrava 1 Choice-compulsory study plan
2018/2019 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K English Ostrava 1 Choice-compulsory study plan
2017/2018 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P English Ostrava 1 Choice-compulsory study plan
2017/2018 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K English Ostrava 1 Choice-compulsory study plan
2017/2018 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Choice-compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Choice-compulsory study plan
2016/2017 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Choice-compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Choice-compulsory study plan
2016/2017 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P English Ostrava 1 Choice-compulsory study plan
2016/2017 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K English Ostrava 1 Choice-compulsory study plan
2015/2016 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems P English Ostrava 2 Choice-compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems K English Ostrava 2 Choice-compulsory study plan
2015/2016 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P English Ostrava 1 Choice-compulsory study plan
2015/2016 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K English Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner