Parametrizing all solutions of uncontrollable multidimensional linear systems

Authors:	Robertz Daniel, RWTH Aachen, Germany Quadrat Alban, INRIA Sophia Antipolis, France
Topic:	2.2 Linear Control Systems
Session:	Multidimensional Systems in Control and Telecommunications
Keywords:	Multidimensional linear systems, controllability, parametrizability,autonomous elements, linear systems over Ore algebras, Grobner bases.

Abstract

Using an algebraic analysis approach, we derive a necessary and sufficientcondition so that we can parametrize all solutions of a multidimensional linear systemby glueing the controllable sub-behaviour with the autonomous elements. Effective algorithms checking this condition are obtained. This result generalizes a result of 1-D linear systems for a class of multidimensional linear systems.