Continualization of Structural Cybernetic Systems

This paper deals with structural terms system description and stochastic causal system transformation procedure performed from discrete-time into continuous-time domain. Such a process is called the continualisation procedure. According to the basic axioms of the new approach to system theory, the discrete-time stochastic causal system is considered as the original cybernetic system because it is possible to obtain only a finite number of independent discrete-time observations. The continuous-time system can be then studied only as the limit of previously defined suitable sequence of discrete-time systems. The causality principle is supposed to be the mechanism of evolution in the real world, uncertainty of which can be best modelled by stochastic models. This principle has become a very efficient instrument in studying abstract models of real systems and, in addition, helped with defining basic inner system terms.