EE555 STABILITY THEORY OF DYNAMICAL SYSTEMS
| Course Code: | 5670555 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Electrical and Electronics Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Assoc.Prof.Dr. SEZAİ EMRE TUNA |
| Offered Semester: | Fall Semesters. |
Course Objectives
The students taking the course are exposed to some of the basic tools that are used in stability analysis of dynamical systems. The objective of the course therefore is to make the students familiar with such tools for two reasons: The first obvious reason is that via such tools they will be able to do stability analysis in certain simple, generic cases. The second reason is, whenever the system they are working on does not fit into the description which is necessary for the tools to be usable, they can, based on their basic training they recieve in this course, move on to learning (by themselves) more sophisticated methods for advanced stability analysis.
Course Content
Review of dynamical system models, classification of equilibrium solution. Results on 2-dimensional systems; Poincare-Bendixon theory for limit cycles. Liapunov theory; definitions of stability and applications to linear and nonlinear feedback systems. Input/output stability; definitions and derivation of frequency response criteria for stability.
Course Learning Outcomes
A student who has taken the course is more knowledgable on Lyapunov-based techniques to determine the stability properties of equilibrium points of nonlinear dynamical systems.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Depth: Our graduates acquire in depth knowledge in one of the various specialization areas of Electrical and Electronics Engineering, they are informed about current scientific research topics and they implement innovative methods. | ✔ | |||
| 2 | Breadth: Our graduates get familiarized in other subspecialty areas related to their specialization in Electrical and Electronics engineering and/or relevant areas in other disciplines. | ✔ | |||
| 3 | Research: Our graduates acquire the skills to conduct and to complete scientific research by accessing contemporary knowledge in their specialty areas. | ✔ | |||
| 4 | Life-long learning: Our graduates develop their life-long learning habits. | ✔ | |||
| 5 | Communication skills: Our graduates concisely communicate their ideas and work related results in written and oral form. | ✔ | |||
| 6 | Ethics: Our graduates internalize rules of research and publication ethics as well as professional ethics. | ✔ | |||