470-2104/01 – 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 languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesFEIIntended for study typesFollow-up Master, Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRA04 Mgr. Bohumil Krajc, Ph.D.
SIM46 Mgr. Lenka Přibylová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 0+2
Part-time 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 testů a úkolů.

E-learning

Other requirements

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

Full-time form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Graded exercises evaluation Graded credit 100 (100) 51 3
        test 1 Written test 40  0
        test 2 Written test 40  0
        test 3 Written test 20  0
Mandatory attendence participation: Participation at all exercises is obligatory, 2 apologies are accepted.

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2022/2023 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2021/2022 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2021/2022 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2020/2021 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Choice-compulsory study plan
2020/2021 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Choice-compulsory study plan
2020/2021 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2020/2021 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Choice-compulsory study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Choice-compulsory study plan
2019/2020 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2019/2020 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Choice-compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Choice-compulsory study plan
2018/2019 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2018/2019 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Choice-compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Choice-compulsory study plan
2017/2018 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2017/2018 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Choice-compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Choice-compulsory study plan
2016/2017 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Choice-compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Choice-compulsory study plan
2015/2016 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2014/2015 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Choice-compulsory study plan
2014/2015 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Choice-compulsory study plan
2014/2015 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Choice-compulsory study plan
2014/2015 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Choice-compulsory study plan
2014/2015 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2014/2015 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2013/2014 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Choice-compulsory study plan
2013/2014 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Choice-compulsory study plan
2013/2014 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2013/2014 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Choice-compulsory study plan
2012/2013 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Choice-compulsory study plan
2012/2013 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Choice-compulsory study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Choice-compulsory study plan
2011/2012 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (N2649) Electrical Engineering (3901T009) Biomedical Engineering P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2649) Electrical Engineering (3901T009) Biomedical Engineering K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2018/2019 Summer
2017/2018 Summer
2016/2017 Summer
2015/2016 Summer
2014/2015 Summer
2013/2014 Summer
2012/2013 Summer
2010/2011 Summer