Parametrizing all solutions of uncontrollable multidimensional linear systems

A. Quadrat, D. Robertz

Proceedings of the 16th IFAC World Congress, Prague, July 4-8, 2005
 
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Abstract: Using an algebraic analysis approach, we derive a necessary and sufficient condition so that we can parametrize all solutions of a multidimensional linear system by 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.
 
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