- Oliver Junge, Technische Universität München, Germany
"Set oriented numerics and applications"
Over the last couple of years, a discretization based on sets has proven to be a
useful approach for the robust numerical treatment of several problem classes.
Originally developed within the context of nonlinear dynamics, in the meantime
this concept has also been successfully applied in order to solve optimal
control and multiobjective optimization problems.
This talk gives an introduction to the basic ideas of the set oriented
paradigm and presents three specific methods within the context of their
applications: An approach for the identification of energy efficient
trajectories for spacecraft, a rigorous numerical method for the identification
of chaos in infinite-dimensional dynamical systems as well as the construction
of globally optimal controllers for quantized and hybrid control systems.