Linear System Theory (EE503) Course Detail

Course Name	Course Code	Season	Lecture Hours	Application Hours	Lab Hours	Credit	ECTS
Linear System Theory	EE503	Area Elective	3	0	0	3	5

Pre-requisite Course(s)
N/A

Course Language	English
Course Type	Elective Courses
Course Level	Ph.D.
Mode of Delivery	Face To Face
Learning and Teaching Strategies	Lecture, Discussion, Question and Answer, Drill and Practice.
Course Coordinator
Course Lecturer(s)	Prof. Dr. Reşat Özgür DORUK
Course Assistants
Course Objectives	Teaching of advanced concepts in linear system theory to aid the graduate students mastering in signal processing, dynamical systems theory and control.
Course Learning Outcomes	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 in this course in their possible future studies
Course Content	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.

Weekly Subjects and Releated Preparation Studies

Week	Subjects	Preparation
1	Review of Linear Algebra Concepts: Linear Spaces, Basis Vectors, Linear Transformations	Glance this week’s topics from the lecture
2	Linear system representations: Frequency domain, transfer functions and state space. Transformations between frequency domain and state space.	Review last week and Glance this week’s topics from the lecture
3	Linear Operators: Range and Null Spaces, Eigenvalues, Eigenvectors, Cayley-Hamilton theorems	Review last week and Glance this week’s topics from the lecture
4	Canonical Forms: Diagonal and Jordan Canonical forms. Various cases.	Review last week and Glance this week’s topics from the lecture
5	Solution of linear dynamical systems equations. State Transition Matrix concept.	Review last week and Glance this week’s topics from the lecture
6	Methods of derivation and computation of state transition matrices.	Review last week and Glance this week’s topics from the lecture
7	Connections to nonlinear systems, linearization, equilibrium concepts.	Review last week and Glance this week’s topics from the lecture
8	MIDTERM EXAM-I	Review all topics up to the current week
9	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.	Review last week and Glance this week’s topics from the lecture
10	Controllability and Observability	Review last week and Glance this week’s topics from the lecture
11	Controllable and Observable Canonical Forms. Controller and Observer Designs	Review last week and Glance this week’s topics from the lecture
12	Issues associated with Controllability and Observability	Review last week and Glance this week’s topics from the lecture
13	Minimal Realizations and Kalman Decomposition	Review last week and Glance this week’s topics from the lecture
14	Pole Placement State Feedback	Review last week and Glance this week’s topics from the lecture
15	Introduction to Multi-Input and Multiple- Output (MIMO) systems	Review last week and Glance this week’s topics from the lecture
16	MIDTERM EXAM-II	Review all topics

Sources

Course Book	1. CALLIER, Frank M.; DESOER, C. A. Linear System Theory (Springer Texts in Electrical Engineering). 1991.
	2. ANTSAKLIS, Panos J.; MICHEL, Anthony N. Linear systems. Boston, MA: Birkhäuser, 2006.
	3. PANOS J. ANTSAKLIS; ANTHONY N. MICHEL. A Linear Systems Primer. Springer, 2007.
Other Sources	4. Öğretim Elemanı Taafından Sağlanacak Belgeler/Instructor Notes

Evaluation System

Requirements	Number	Percentage of Grade
Attendance/Participation	-	-
Laboratory	-	-
Application	-	-
Field Work	-	-
Special Course Internship	-	-
Quizzes/Studio Critics	-	-
Homework Assignments	-	-
Presentation	-	-
Project	-	-
Report	-	-
Seminar	-	-
Midterms Exams/Midterms Jury	2	50
Final Exam/Final Jury	1	35
Toplam	3	85

Percentage of Semester Work	65
Percentage of Final Work	35
Total	100

Course Category

Core Courses	X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

#	Program Qualifications / Competencies	Level of Contribution
#	Program Qualifications / Competencies	1	2	3	4	5
1	Ability to carry out advanced research activities, both individual and as a member of a team
2	Ability to evaluate research topics and comment with scientific reasoning
3	Ability to initiate and create new methodologies, implement them on novel research areas and topics
4	Ability to produce experimental and/or analytical data in systematic manner, discuss and evaluate data to lead scintific conclusions
5	Ability to apply scientific philosophy on analysis, modelling and design of engineering systems
6	Ability to synthesis available knowledge on his/her domain to initiate, to carry, complete and present novel research at international level
7	Contribute scientific and technological advancements on engineering domain of his/her interest area
8	Contribute industrial and scientific advancements to improve the society through research activities

ECTS/Workload Table

Activities	Number	Duration (Hours)	Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)	16	3	48
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class	14	3	42
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury	2	10	20
Prepration of Final Exams/Final Jury	1	20	20
Total Workload			130