The stable embedding problem

Authors:	Trentelman Harry, University of Groningen, Netherlands Zavala Yoé R., University of Groningen, Netherlands Praagman C., University of Groningen, Netherlands Trentelman H.L., University of Groningen, Netherlands
Topic:	1.1 Modelling, Identification & Signal Processing
Session:	Modelling and Interconnection of Open Dynamical Systems
Keywords:	Polynomial Matrices, stabilization, behavior, numerical properties, pencils

Abstract

We compute a stable polynomial matrix embedding a stabilizable one. The algorithm resembles the one described by Beelen and Van Dooren for the unimodular embedding problem. We also desribe the numerical problems associated with this kind of algorithms, and point out why the stable embedding algorithm has better prospects than its unimodular counterpart.