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Paper details
Number 1 - March 2003
Volume 13 - 2003
A functorial approach to the behaviour of multidimensional control systems
Jean-François Pommaret, Alban Quadrat
Abstract
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