On a canonical distributed controller in the behavioral framework

Control in a classical transfer function or state-space setting typically views controller as signal processor: sensor outputs are mapped to actuator inputs. In behavioral system theory, control is simply viewed interconnection; the interconnection of plant with controller. this paper we consider problem interconnected systems setting. The especially fit for modeling systems, because it allows subsystems without imposing inputs and outputs. We introduce so-called canonical distributed that implements given behavior desired, provided necessary sufficient conditions hold true. design can be performed decentralized manner, sense local only depends on behavior. Regularity interconnections an important property yields feedback interconnections. provide under which regular. Furthermore, show regular if desired