ECTS - Linear System Theory
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 Lecturer(s) |
|
| 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;
|
| 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 | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Ability to apply knowledge on Mathematics, Science and Engineering to advanced systems. | X | ||||
| 2 | Implementing long-term research and development studies in the major fields of Electrical and Electronics Engineering. | X | ||||
| 3 | Ability to use modern engineering tools, techniques and facilities in design and other engineering applications. | X | ||||
| 4 | Graduating researchers active on innovation and entrepreneurship. | |||||
| 5 | Ability to report and present research results effectively. | |||||
| 6 | Increasing the performance on accessing information resources and on following recent developments in science and technology. | |||||
| 7 | An understanding of professional and ethical responsibility. | |||||
| 8 | Increasing the performance on effective communications in both Turkish and English. | |||||
| 9 | Increasing the performance on project management. | |||||
| 10 | Ability to work successfully at project teams in interdisciplinary fields. | |||||
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 | ||