Date vendredi 20 mars 2009 14h30

Intervenant: Volker Mehrmann (Technische Universität Berlin, Germany)
------------
http://www.math.TU-Berlin.de/~mehrmann

Titre:  Title: Optimal control of differential-algebraic systems
-----

Résumé:
------
 We discuss optimal control problems for
 general unstructured nonlinear differential-algebraic
 equations of arbitrary index.
 This problem has been an open problem for more than 30 years
 due to the fact that the solvability theory is very complex.

 We present some real world examples where such problems arise
 in flow control as well as multibody dynamics.
 We then  derive necessary optimality conditions, first
  in the case of linear-quadratic control
 problems and then for  the general nonlinear case.
 We also present a Pontryagin maximum principle for general
 unstructured nonlinear DAEs in the case of restricted controls.

 Moreover, we discuss the numerical solution of the resulting
 optimality boundary value problems and present numerical examples.


 This is joint work with Peter Kunkel (Univ. Leipzig).

************************************************************************