Einladung zum Vortrag im Kolloquium Technische Kybernetik
Control theory and real algebraic geometry
Prof. Bernd Tibken
Lehrstuhl für Automatisierungstechnik/Regelungstechnik
Bergische Universität Wuppertal
Zeit: Dienstag · 9. 1. 2007 · 16:00 Uhr
Ort: IST-Seminarraum 3.241 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen
In this talk it will be shown how modern developments in real algebra are used to solve control theory problems. This will be illustrated by two applications, namely observability of polynomial systems and estimation of the domain of attraction for polynomial systems. The key tools used are representations of positive polynomials which are then transformed into linear matrix inequalities and solve with reliable numerical software. Some benchmark examples form the literature show the advantages of the presented approach.
Prof. Dr.-Ing. Bernd Tibken was born on May 23, 1960 and entered the University of Hamburg in the winter semester 1979/80. He graduated in Physics from the University of Hamburg in 1985. He received the PhD degree from the Technical University of Hamburg-Harburg and the Habilitation degree from the University of Ulm in 1990 and 1996, respectively. Since 1999 he is Full Professor for Automatic Control in the Faculty of Electrical, Information, and Media Engineering (Faculty E) of the University of Wuppertal. He received calls to Full Professor positions at Technical University of Freiberg in 1999 and the Helmut Schmidt University Hamburg (former University of the Armed Forces) in 2003. Since 2002 he is Dean of Faculty E at the University of Wuppertal. His main areas of research are nonlinear control theory especially polynomial systems and the application of real algebra to control problems.