ON TWO WAYS OF STATE SPACE CONSTRUCTING FOR GENERAL DYNAMICAL SYSTEMS.

Some ideas by M. D. Mesarovic concerning a state-space representation for general time systems (and for general dynamical systems) are developed. The state space construction is presented. It uses the aggregation of state objects by the Cartesian product operation. The state space obtained in such a way is compared with the state space constructed on the basis of the state objects aggregation by the union operation (due to Mesarovic). It appears that from the viewpoint of state space mathematical structure preservation the state space induced by the state objects aggregation using the Cartesian product operation is more convenient.