Technomathematics Group

Dynamical Systems

Content

  • basics: existence and uniqueness,
  • autonomous equations,
  • stability theory,
  • nonlinear systems, local theory, theorem of Hartman-Grobman, non hyperbolic equilibrium points and Lyapunov theory,
  • periodic orbits, Poincaré Bendixon and applications, invariant sets,
  • bifurcation theory,
  • applications.

Mode of lecture

2 SWS lecture and 1 SWS  problem class as acreencasts in OLAT

Language:

English

Links/Contact

Lecturer:

Prof. Dr. Axel Klar

KIS entry:

[KIS]

Link to course in OLAT:

OpenOLAT

Introduction to Systems and Control Theory

Content

Basic terms and ideas of Systems and Control Theory as well as their applications will be discussed. In particular, the following contents will be covered:

  • representation of time-discrete and continuous linear and non-linear dynamic systems,
  • stability of dynamic systems,
  • accessibility, controllability, observability,
  • feedback rule.

Mode of lecture

2 SWS lecture with screencasts and live parts

1 SWS problem class as livestream

Language

English

Links/Contact

Lecturer:

Prof. Dr. Tobias Damm

KIS entry:

[KIS]

Link to course in OLAT:

OpenOLAT

Registration for Exercise Classes:

URM

Introduction to Neural Networks

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