LİNEER SİSTEM TEORİSİ I PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
EEM501	LİNEER SİSTEM TEORİSİ I	1	3	3	6

GENERAL INFORMATION
Language of Instruction :	Turkish
Level of the Course Unit :	MASTER'S DEGREE, TYY: + 7.Level, EQF-LLL: 7.Level, QF-EHEA: Second Cycle
Type of the Course :	Elective
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Prof. HAMDİ ALPER ÖZYİĞİT
Instructor(s) of the Course Unit
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	Teaching of advanced concepts in linear system theory to aid the graduate students mastering in signal processing, dynamical systems theory and control.
Contents of the Course Unit:	Review of linear algebra concepts, linear system representations, existence of solutions, state transition matrices, canonical realizations, controller designs, observer designs, introduction to multi input multi output systems.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)

The students who succeeded in this course; • Explain the general system concepts • Distinguish linear and nonlinear systems • Describe different linear system representations • Model and analyze the systems represented in state space form. • Design state feedback controllers • Design state observers • Deal with the difficulties observed in controller and observer designs. • Learn new topics in system theory based on the material covered

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	-	Outline and introduction	-
2	-	Review of Linear Algebra Concepts: Linear Spaces, Basis Vectors, Linear Transformations	-
3	-	Mathematical Background (Fields, Vector Spaces, Matrices, Matrix inverse, Metric Spaces, Norms, Normed Spaces, Inner Products, Inner Product Spaces, Completeness).	-
4	-	Mathematical Background (Fields, Vector Spaces, Matrices, Matrix inverse, Metric Spaces, Norms, Normed Spaces, Inner Products, Inner Product Spaces, Completeness).	-
5	-	Linear system representations: Frequency domain, transfer functions and state space. Transformations between frequency domain and state space	-
6	-	Linear Operators: Range and Null Spaces, Eigenvalues, Eigen vectors, Cayley-Hamilton Theorems	-
7	-	Canonical Forms: Diagonal and Jordan Canonical forms. Various cases.	-
8	-	MID-TERM EXAM	-
9	-	Solution of linear dynamical systems equations. State Transition Matrix concept.	-
10	-	Methods of derivation and computation of state transition matrices	-
11	-	Connections to nonlinear systems, linearization, equilibrium concepts.	-
12	-	Stability: Stability definitions, local stability, global stability, asymptotic stability, stability in the sense of Lyapunov, stability analysis of systems in frequency domain or state space.	-
13	-	Controllability and Observability	-
14	-	Controllable and Observable Canonical Forms. Controller and Observer Designs	-
15	-	Issues associated with Controllability and Observability	-
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description	Examination Method

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Based on the engineering degree level qualifications, Mechatronics Engineering or a different field of information can improve the level of expertise.

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Mechatronics Engineering can grasp interdisciplinary interaction to be associated with.

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The knowledge gained in the field of Mechatronics Engineering integrating the information gathered from different disciplines can interpret and create new knowledge.
2	You can use the theoretical and practical knowledge acquired in the level of expertise in Mechatronics Engineering.

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Problems related to the field of Mechatronics Engineering may be using research methods.

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1
2
3

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1
2
3
4

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1
2
3

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites	Learning Activities (# of week)	Duration (hours, h)	Workload (h)
Lecture & In-Class Activities	14	3	42
Preliminary & Further Study	14	5	70
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	1	15	15
Project Work	0	0	0
Seminar	0	0	0
Internship	0	0	0
Technical Visit	0	0	0
Web Based Learning	0	0	0
Implementation/Application/Practice	0	0	0
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	0	0	0
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	1	1
Preparation for the Final Exam	1	15	15
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	1	10	10
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	33	0	154