Geodesic
A Functorial Approach to the Behaviour of Multidimensional Control Systems
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 1, pp. 7-13.

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We show how to use the extension and torsion functors in order to compute the torsion submodule of a differential module associated with a multidimensional control system. In particular, we show that the concept of the weak primeness of matrices corresponds to the torsion-freeness of a certain module.
Keywords: multidimensional systems, weak primeness, controllability, algebraic analysis, torsion and extension functors, rings of differential operators
Mots-clés : automatyka, robotyka 
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Pommaret, J. F.; Quadrat, A. A Functorial Approach to the Behaviour of Multidimensional Control Systems. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 1, pp. 7-13. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_1_a0/