FEEDBACK INVARIANCE AND INJECTION INVARIANCE FOR SYSTEMS OVER RINGS

摘要

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.