Technomathematics Group

Nonlinear Control

Content

Methods for the control of non-linear systems, in particular

Stability of non-linear systems, Lyapunov theory, comparison functions, input-to-state stability (ISS),

  • Linearization and normal forms of non-linear systems,
  • different concepts of control, e.g. Backstepping, predictive control, sliding mode
  • non-linear observer

Information

Volume: 

4 SWS Lecture and 2 SWS Tutorial

Course language:

English

 

 

Links/Contact

Numerical Methods for Partial Differential Equations II

Content

In this lecture we treat analytic and numerical methods for hyperbolic conservation equations. Here scalar equations as well as systems are considered. The focus lies on the interplay between analysis and numerics.

Information

Format: 

Screencast

Volume: 

4 SWS Lecture and 2 SWS Tutorial

Course language:

English

 

Mathematical Methods for Interacting Particle Systems

Content

The lecture gives an introduction to interacting particle systems on micro-, meso- and macroscopic scales. Interacting particle systems are based on microscopic systems of ordinary or stochastic differential equations with a large number of particles. In many cases, the solution of these microscopic model can be approximated by the solution of mesoscopic or kinetic models. A further reduction of the description is given by averaging or asymptotic approaches leading to macroscopic partial differential equations.

Information

Format: 

Screencast

Volume: 

2 SWS Lecture

Course language:

English

 

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