IFIP TC 7 / 2013 - Minisymposia

  • 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"

The minisymposium is mainly concerned with optimal feedback control of  partial differential equations and its numerical realization.
Many 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.
In 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.
The aim of this minisymposium is to bring people from theoretical and numerical sides together, and to promote the exchange of ideas on this topic.