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 for research students about course offerings
Spring 2019
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Application
For course offering
Spring 2024 Start 16 Jan 2024 programme students
Application code
60809
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.
Recommended prerequisites
Equipment
Literature
Compendium.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
Examination
- HEM1 - Home assignment, 1.5 credits, grading scale: P, F
- TENH - Home exam, 6.0 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.
Homework plus final exam.
Other requirements for final grade
Completion of homework and passing the exam.
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
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.