457-0529/01 – 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 introduction2006/2007Year of cancellation2009/2010
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOU10 prof. RNDr. Jiří Bouchala, Ph.D.
KRA04 Mgr. Bohumil Krajc, 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

Tutorials

Summary

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

Compulsory literature:

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

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Cvičení: Klasická řešení obyčejných diferenciálních rovnic (ODR), modely. Geometrická interpretace - soustavy dvou lineárních diferenciálních rovnic, konstrukce směrových polí. Řešení homogenních soustav lineárních diferenciálních rovnic s konstantními koeficienty. Řešení nehomogenních soustav. Řešení homogenních lineárních diferenciálních rovnic n-tého řádu s konstantními koeficienty. Řešení nehomogenních rovnic vyššího řádu. Kmity. Algebraické řešení diferenciálních rovnic (pomocí L-transformace). Stabilita řešení ODR a jejich soustav. Diferenční rovnice a jejich algebraické řešení (pomocí Z-transformace).

Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded exercises evaluation Graded credit 100 (100) 0
        Written exam Other task type 30  0
        Písemka Written test 70  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2009/2010 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Choice-compulsory study plan
2009/2010 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Choice-compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Choice-compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Šumperk 2 Choice-compulsory study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Choice-compulsory study plan
2007/2008 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Choice-compulsory study plan
2007/2008 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner