Autumn 2023
Prof. Debasattam Pal
Author: Vighnesh JR
Pre-requisite courses: Nil
Pre-requisite skills: Differential Equations, basic control theory, linear algebra
Course Content:
- Nonlinear dynamical systems, an introduction and specialities.
- Linearisation and linear stability analysis.
- Poincare Bendixon theorem, Bendixon theorem, index of a field, bifurcations.
- Lyapunov stability, Asymptotic stability, Chetaev’s Instability theorem.
Motivation to take up the course: Interest in mathematics for controls or dynamical analysis.
Information about Projects/Assignments: Assignments are worksheets.
Evaluation Structure: 2 Assignments, 2 Quizzes, Endsem, Midsem
Quizzes/Midsem/Endsem papers Difficulty: 5/5
Assignments Difficulty: 5/5
Level of effort [Level of effort you put into the course]: 4/5
Lecture Style and Delivery: Prof gave a monotonous lecture without slides. He derives on board.
Attendance Policy: None
References OR online resources (E.g. drive link for recorded lecture videos etc.): Hassan A Khalil
General funda: Take notes in class and ask doubts, otherwise you are doomed.
Who can take this course?: People heavily mathematically inclined, interested in dynamical systems and controls.