International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Wednesday Evening

Session WE1: Algebraic Methods


Chair: Nicos Karcanias - United Kingdom
Co-chair: Petr Husek - Czech Republic
Room: Assunção
2007-10-17
From 16:00 to 18:00
Tensored Polynomial Models and the Sylvester Equation and Model Reduction
P. A. Fuhrmann; U. Helmke
Contact: Paul A. Fuhrmann - Israel
16:20-16:40
Abstract:
The aim of the present paper is to introduce two different versions of tensor products of functional models and apply them to the study of the Sylvester equation. We generalize the classical matrix Sylvester equation to a polynomial Sylvester equation and proceed to rederive some classical results. We end by applying our method to problems of model reduction. Copyright © 2007 IFAC.