led by K. Kunisch

The research of this group focuses on optimal control of infinite dimensional systems typically with constraints given by partial differential equations. The mathematical analysis of particular problems as well as their numerical treatment are investigated. Open loop optimal control problems typically involve large systems of coupled partial differential equations. Recently significant progress has been made in their solution based on both, improved concepts from optimisation theory (SQP-methods and semi-smooth Newton methods in function space) and numerical analysis (hierarchical methods, adaptivity). These new techniques now allow the control of problems in fluid dynamics which were unsolvable only a few years ago. Future work will encompass the control of coupled systems (control by magnetic fields, fluid-structure interaction), control of quantum mechanical systems, as well as closed-loop control. The latter requires to consider the Hamilton-Jacobi-Bellman equation which is still untractable for systems of practical size. Therefore model reduction techniques, including proper orthogonal systems, balanced truncation and the center manifold theorem (nonlinear Galerkin methods) will be investigated. These methods are important also in their own right, for instance for real-time optimal control.

---

The Institute is named after the famous Austrian mathematician Johann Radon (1887-1956)

Medieninhaber:
Österreichische Akademie der Wissenschaften
Juristische Person öffentlichen Rechts (BGBl 569/1921 idF BGBl I 130/2003)
Dr. Ignaz Seipel-Platz 2, 1010 Wien
Diese Website dient zur Information über die wissenschaftlichen Aktivitäten der Österreichischen Akademie der Wissenschaften und setzt somit den gesetzlichen Auftrag um, die Wissenschaft in jeder Hinsicht zu fördern.

This RICAM page was made with 100% valid HTML & CSS - Send comments to Webmaster
Today's date and time is 05/22/12 - 13:54 CEST and this file ( /research/optcontrol/index.html ) was last modified on 02/02/12 - 13:52 CET