- Axel Kröner, Johann
Radon Institute for Computational and Applied Mathematics (RICAM)
- Sergio S. Rodrigues, Johann Radon Institute for Computational and Applied Mathematics (RICAM)
"On optimal feedback control for partial differential equations: theory and numerical methods"
minisymposium is mainly concerned with optimal feedback control of
partial differential equations and its numerical realization.
real-life phenomena are modeled by partial differential equations as
the well-known wave or Navier-Stokes equations. By this reason
controllability issues and numerical realization of these equations are
of great importance.
Once we have proven the existence of a control
with suitable properties we may try to find it in feedback form,
because closed-loop controls are usually more stable under
perturbations, which is an important property in applications.
many situations the feedback law can be derived from the dynamic
programming principle, and is closely related with the Riccati and
Hamilton Jacobi Bellman equations.
The numerical realization of
these feedback laws based on the dynamical programming principle are
very challenging and may lead to high dimensional discrete problems.
This motivates to develop efficient numerical methods to solve these problems.
aim of this minisymposium is to bring people from theoretical and
numerical sides together, and to promote the exchange of ideas on this