Nonlinear Systems (3V/1U)

Lecturer

Prof. Dr.-Ing. Christian Ebenbauer

Assistant

Gerd Schmidt

Time and place (3h lecture + 1h exercise)

Wed. 9:45-11:15, V 9.3.243
Fri. 11:30-13:00, V 9.3.243
First lecture: 23.10.2009

Course description (Engineer@work)

This course introduces students to some of the basic ideas of differential geometry which are important in the analysis and design of nonlinear systems. The main focus is on applications in control but also problems in mechanics and optimization are considered. Some of the topics covered in this course are: Vector fields, flows, Lie brackets Smooth manifolds Calculus on manifolds Matrix Lie groups Integrability Applications to control, mechanics and optimization (e.g. controllability, observability, exact linearization, output regulation, eigenvalue computation, optimization on manifolds) The course is given in English. Prequisites: RT1 and RT2 required.