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, and Other Topics.
FSF3862 Nonlinear Systems, Analysis and Control 7.5 credits
Information per course offering
Information for Spring 2026 Start 13 Jan 2026 programme students
- Course location
KTH Campus
- Duration
- 13 Jan 2026 - 1 Jun 2026
- Periods
Spring 2026: P4 (4 hp), P3 (3.5 hp)
- Pace of study
25%
- Application code
10842
- Form of study
Normal Daytime
- Language of instruction
English
- Course memo
- Course memo is not published
- Number of places
Places are not limited
- Target group
- No information inserted
- Planned modular schedule
- [object Object]
- Schedule
- Schedule is not published
- Part of programme
- No information inserted
Contact
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus FSF3862 (Spring 2019–)Headings with content from the Course syllabus FSF3862 (Spring 2019–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
A systematic understanding of nonlinear control systems.
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.
Literature and preparations
Specific prerequisites
Ph D students in applied mathematics, and systems and control.
Literature
Compendium.
Examination and completion
Grading scale
P, F
Examination
- TENH - Home exam, 6.0 credits, grading scale: P, F
- HEM1 - Home assignment, 1.5 credits, grading scale: P, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
If the course is discontinued, students may request to be examined during the following two academic years.
Homework plus final exam.
Other requirements for final grade
Completion of homework and passing the exam.
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Education cycle
Third cycle