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Controllability of Goursat-Darboux systems - some numerical results

Authors:Idczak Dariusz, University of Lodz, Faculty of Mathematics, Poland
Majewski Marek, University of Lodz, Faculty of Mathematics, Poland
Topic:2.2 Linear Control Systems
Session:Multidimensional Systems in Control and Telecommunications
Keywords: Goursat-Darboux system, controllability, piecewise constant controls

Abstract

In the paper, we consider a linear nonautonomous Goursat-Darboux system which is a continuous version of discrete Fornasini-Marchesini system. We give some general algorithm for construction a piecewise constant control related to some density result for attainable sets connected with integrable controls and piecewise constant ones.