Symmetries, parametrizations and potentials of multidimensional linear systems
Résumé
Within the algebraic analysis approach to linear systems theory, the purpose of this paper is to study how left D- homomorphisms between two finitely presented left D-modules associated with two linear systems induce natural transformations on the autonomous elements of the two systems and on the potentials of the parametrizations of the arametrizable subsystems. Extension of these results are also considered for linear systems inducing a chain of successive parametrizations.