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FEEDBACK INVARIANCE AND INJECTION INVARIANCE FOR SYSTEMS OVER RINGS
J. Assan** J.F. Lafay** A.M. Perdon*
* Dipartimento di Matematica “V. Volterra”, Universita’ di
Ancona, Via Brecca Bianche, 60131 Ancona, Italy,
perdon@popcsi,unian.it
** Institut de Recherche en Communications Cybernétique de
Nantes, UMR 6597, B.P. 92101, 1 rue de la Noë 44321 Nantes
cedex 03, France. E-mail:Jean-Francois. Lafay@irccyn.ec-nantes.fr
A straightforward extension to systems over rings of the geometric approach to many control problems is not possible, since the equivalence between invariance properties and existence of feedbacks or output injections no longer holds. In this paper new geometric, algorithmic characterizations of (A + BF)-invariance and of (A + GC)-invariance, suitable to symbolic computer algebraic computations, are given for systems over Noetherian rings.
Keywords: Linear system, ring models, geometric approach
Session slot T-Fr-A18: Time delay systems/Area code 2b : Linear Systems
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