LEVELS OF STRUCTURAL DECOMPOSITION OF DYNAMICAL SYSTEMS

The problem of decomposition of a dynamical system is of great interest in system theory. It is known that decomposition methods enable one to find many various structural realizations of a given dynamical system. Such a situation makes it impossible to perform efficient structural identification. So the main task of this paper is to establish some properties of a dynamical system which allow the identification of its components with accuracy to isomorphism or identity. This problem is strictly related to a concept of the hierarchy of knowledge about dynamical systems and to a concept of justifying conditions (in the sense of B. P. Zeigler). Here is solved for parallel decomposition of finite homomorphic sequential systems.