ECTS - Nonlinear Systems
Nonlinear Systems (EE612) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Nonlinear Systems | EE612 | 3 | 0 | 0 | 3 | 5 |
| Pre-requisite Course(s) |
|---|
| A prior differential equations, linear systems and/or a basic control systems course is strongly recommended. |
| Course Language | English |
|---|---|
| Course Type | N/A |
| Course Level | Natural & Applied Sciences Master's Degree |
| Mode of Delivery | |
| Learning and Teaching Strategies | . |
| Course Lecturer(s) |
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| Course Objectives | Teaching of advanced concepts in nonlinear system theory to aid the graduate students mastering in dynamical systems theory, control, power systems, neural networks and theoretical neuroscience. |
| Course Learning Outcomes |
The students who succeeded in this course;
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| Course Content | Nonlinear models and nonlinear phenomena, qualitative behaviour of second order systems, Lyapunov stability, passivity, Poincaré and Bendixon theorems, frequency response of nonlinear systems and describing functions, applications of Lyapunov theory, advanced nonlinear phenomena such as bifurcations. |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Nonlinear Phenomena: Linear and Nonlinear Systems | |
| 2 | Equilibrium Points, Jacobian Linearization | |
| 3 | Analysişs of second order systems in phase plane | |
| 4 | Behaviour of system trajectories in the vicinity of equilibrium points. Local stability. | |
| 5 | Stability in general, types of stability and Lyapunov methods | |
| 6 | Applications of Lyapunov Stability I | |
| 7 | Applications of Lyapunov Stability II | |
| 8 | MIDTERM EXAM-I | |
| 9 | Limit cycles, Poincare and Bendixon theorems | |
| 10 | Frequency response and describing functions. | |
| 11 | Advanced Nonlinear Phenomena: Bifurcations | |
| 12 | Bifurcation in one dimensional systems | |
| 13 | Bifurcation in two dimensional systems (generalizations to large order cases) | |
| 14 | Bifurcation analysis approaches (MATCONT Package) | |
| 15 | Bifurcation Control Approaches | |
| 16 | MIDTERM EXAM-II |
Sources
| Course Book | 1. Khalil, Hassan K. "Noninear systems." Prentice-Hall, New Jersey 2.5 (1996) |
|---|---|
| 2. Vidyasagar, Mathukumalli. Nonlinear systems analysis. Vol. 42. Siam, 2002. | |
| Other Sources | 3. 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 | 30 |
| Final Exam/Final Jury | 1 | 40 |
| Toplam | 3 | 70 |
| Percentage of Semester Work | |
|---|---|
| Percentage of Final Work | 100 |
| 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 major areas 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 | 16 | 5 | 80 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | |||
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | 2 | 3 | 6 |
| Prepration of Final Exams/Final Jury | 1 | 5 | 5 |
| Total Workload | 139 | ||