Simultaneous stabilization based on behavioral approach

The interconnection and control of dynamical systems are studied in a behavioral contex. New results of system stabilization are achieved by specifying the controller as a system restricting plant's behavior. Dynamical properties of partial variables of interest are characterized by elimination of latent variables. These variables can be stabilized by pole placement. Variety of systems which can be stabilized by this controller is proved by defining a Bezout map both injective and surjective. This makes it possible for a controller to stabilize two or more than two plants. Simulation result shows the validity and effectiveness of this design method.