Lecturers Prof. Dr.-Ing. Christian Ebenbauer
Assistant Fabian Pfitz
Time and place (3h lecture + 1h exercise)
Mon. 15:45-19:00, V 57.04
Fri. 11:30-13:00, V 9.41
First lecture: April 12, 2019
This course provides an introduction to intrinsically nonlinear phenomena in dynamical systems. The main focus of this course is on differential geometric methods. Applications will include problems from nonlinear control, optimization and mechanics. Some of the topics covered in this course are:
- Nonlinear vector fields and flows
- Stability and bifurcations
- Lie brackets and commutativity of flows
- Manifolds, vector fields on manifolds and integrability
- Center manifolds and advanced stability theory
- Applications in Control, Mechanics and Optimization
- Extremum Seeking Control
ILIAS (Ingenieurwissenschaften-> Kybernetik).
The course is given in English, written exam 90 minutes long, no specific course prerequisites are required, basic knowledge about systems dynamics recommended.