SS 2019

Nonlinear Dynamics

Lecturers: Prof. Dr.-Ing. C. Ebenbauer
Credits: 3V, 1Ü

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

Course description

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


Handouts
ILIAS (Ingenieurwissenschaften-> Kybernetik).

Exam, prerequisites

The course is given in English, written exam 90 minutes long, no specific course prerequisites are required, basic knowledge about systems dynamics recommended.

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