Yoe, “On the parametrization of all regularly implementing and stabilizing controllers

Abstract. In this paper we deal with problems of controller parametrization in the context of behavioral systems. Given a full plant behavior, a subbehavior of the manifest plant behavior is called regularly implementable if it can be achieved as the controlled behavior resulting from the interconnection of the full plant behavior with a suitable controller behavior, in such a way that the controller does not impose restrictions that are already present in the plant. We establish a parametrization of all controllers that regularly implement a given behavior. We also obtain a parametrization of all stabilizing controllers. Key words. Linear differential system behaviors, implementability, stabilization, parametrization of con-trollers, Youla parametrization. AMS subject classifications. 93B05, 93B07, 93B50, 93B52, 93C05, 93C15, 93D15, 93D20