FSF3862 Nonlinear Systems: Analysis and Control, Spring 2026

Credits: 7,5 HP.

Instructor: Xiaoming Hu

Lectures: one lecture per week , time and location: to be decided.

First Lecture: 10:15-12:00, January 26, 2026, in Room 3721, Lindstedtsvägen 25.

Literature: Lecture notes are available for download here (Password required). For further reading: Nonlinear systems by H. Khalil, published by Prentice-Hall.

Intended Audience: Graduate students and master students in applied mathematics and other related fields.

Goal: This course gives an overview on nonlinear dynamical systems, presented from systems and control point of view. In this course, both analysis and synthesis techniques will be covered. Thus it is very suitable for students who want to have a basic understanding of nonlinear systems. We plan to cover a range of topics on nonlinear systems such as approximation methods, periodic solutions, Lyapunov stability, controllability and observability, feedback stabilization and output regulation.

Examination: Students are required to do the homework assignments and to pass the oral exam.

Course Plan:

There are about 12-14 lectures (two hours each), once or twice per week. Each of the following topics will be covered by one or several lectures:

Nonlinear Differential Systems
Periodic Solutions
Lyapunov Stability Theory
Stability of Invariant Set and Model Reduction
Controllability and Observability of Nonlinear Systems
Feedback Stabilization
Tracking and Regulation
Other Topics

Some past recorded lectures