A Functorial Approach to the Behaviour of Multidimensional Control Systems
نویسندگان
چکیده
It is well known that the controllability of a linear multidimensional control system depends on an algebraic property (namely, the torsion-freeness) of a certain module M associated with the system (Oberst, 1990; Pillai and Shankar, 1999; Pommaret and Quadrat, 1999a; 1999b). The recent survey (Wood, 2000) gives different equivalent formulations of controllability and, in particular, the equivalence obtained in (Pillai and Shankar, 1999) between the torsion-freeness of M and the definition of controllability given by Willems (1991).
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