Yozgat Bozok University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MAT583	LİNEER SİSTEMLERİN KARARLILIĞI	Elective	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

The aim of this course is to introduce the concept of stability used in engineering.

Name of Lecturer(s)

Prof.Dr.Mammad MUSTAFAYEV

Learning Outcomes

1	To analyze stability of polynomials and matrices.
2	To know edge and mapping theorem.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Hurwitz stability of polynomials and matrices, robust stability, stability interval, robust D-stability, interval polynomial family, the Kharitonov polynomials and theorem, the zero exclusion condition, the value set, stability to polytope of polynomials, the edge theorem, multilineer structures and the mapping theorem.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Preliminaries
2	Hurwitz stability of polynomials
3	Matrislerin Hurwitz kararlılığı
4	Robust stability
5	Stability interval
6	Robust D-stability
7	Applications
8	Interval polynomial family
9	The Kharitonov polynomials and theorem
10	The zero exclusion condition
11	The value set
12	Stability to polytope of polynomials
13	The edge theorem
14	Multilineer structures and the mapping theorem

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	50	50
Final Examination	1	60	60
Makeup Examination	1	20	20
Attending Lectures	1	10	10
Individual Study for Mid term Examination	1	10	10
Individual Study for Final Examination	1	20	20
TOTAL WORKLOAD (hours)			170

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High