Linear versus nonlinear. Basic nonlinear analysis. Nonlinear ordinary differential equations. Second order systems; Poincare-Bendixon theorem, limit cycles. Stability in the sense of Lyapunov. Input-output stability, passivity, small gain theorem. Singular pertubations. Differential geometric methods.
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| Dönem | Course CPA | |
|---|---|---|
| 2024-2025 Fall | 2.72 | 1 sec · 30 öğr |
| 2023-2024 Fall | 2.77 | 1 sec · 23 öğr |
| 2022-2023 Fall | 2.73 | 1 sec · 38 öğr |
| 2021-2022 Fall | 2.59 | 1 sec · 47 öğr |
| 2020-2021 Fall | 2.58 | 1 sec · 40 öğr |
| 2019-2020 Fall | 2.42 | 1 sec · 35 öğr |
| 2018-2019 Fall | 2.30 | 1 sec · 53 öğr |
| 2017-2018 Fall | 2.18 | 1 sec · 46 öğr |
| 2016-2017 Fall | 2.06 | 1 sec · 32 öğr |
| 2015-2016 Fall | 1.77 | 1 sec · 60 öğr |
Aggregate course GPA — Bilkent STARS'tan public data. Hoca-bazlı per-section detayı için STARS evaluation report →. Öğrenci anket cevapları KVKK kapsamında defter'de tutulmaz.
Students who obtained total of 40/100 in Midterm 1 and Midterm 2 will be admitted to the final.
Introduction (Linear vs. Nonlinear) Second Order Systems. Phase portraits Describing function Analysis-Theory Describing Function Analysis-Applications Mathematical Preliminaries Lyapunov Stability Analysis-Theory Lyapunov Stability Analysis-Applications Input-Output Stability Feedback System Analysis-Theory Feedback System Analysis-Applications Sliding Mode Control Singular Perturbation Theory Feedback Linearization ECTS - Workload Table: Activities Number Hours Workload Course hours 14 3 42 Final exam 1 3 3 Preparation for Final exam 1 50 50 Midterm exam 2 2 4 Preparation for Midterm exam 2 25 50 Total Workload: 149 Total Workload / 30: 149 / 30 4.97 ECTS Credits of the Course: 5 Type of Course: Lecture Course Material: Written - Multimedia Teaching Methods: Lecture