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 | 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;
|
| 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 | Demonstrates the ability to conduct advanced research activities both individually and as a team member. | |||||
| 2 | Gains the competence to examine, evaluate, and interpret research topics through scientific reasoning. | |||||
| 3 | Develops new methods and applies them to original research areas and topics. | |||||
| 4 | Systematically acquires experimental and/or analytical data, discusses and evaluates them to reach scientific conclusions. | |||||
| 5 | Applies the scientific philosophical approach in the analysis, modeling, and design of engineering systems. | |||||
| 6 | Synthesizes knowledge in their field to create, maintain, complete, and present original studies at an international level. | |||||
| 7 | Contributes to scientific and technological advancements in their engineering field. | |||||
| 8 | Contributes to industrial and scientific progress to improve 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 | ||