ECTS - Nonlinear Systems
Nonlinear Systems (EE612) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Nonlinear Systems | EE612 | 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 | |
| Learning and Teaching Strategies | . |
| Course Lecturer(s) |
|
| 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;
|
| 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 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 | 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 | ||