The parameterization of stabilizing canonical controllers : The observable case

This paper concerns with one of the topics on the interconnections of dynamical systems in a behavioral framework. Here, we provide the parameterization of canonical controllers those stabilize the set of the (manifest) trajectories via the partial interconnection. Particularly, we focus on the case in which the variable to be controlled is observable from the variable to be interconnected. We also discuss the relationship with the conventional Youla-Kucera parameterization of stabilizing controllers.