Process modeling, Technical cybernetics, Pedagogical cybernetics, Statistical methods, Testing hypothesis, Applied research

Possibilities of process modeling have been generally appeared in the control system theory, which belongs to the technical cybernetics. Process modeling of real systems are essential in a synthesis of control systems. Synthesis methods are based on an identification of a considered controlled process. The theoretical approaches of the technical cybernetics belong to the general cybernetics. However, in case of the other cybernetic disciplines, a majority of abstract layer can be seen e.g. in pedagogical cybernetics. This cybernetic discipline is a priori based on a feedback strategy of a process control. Abstract objects have not been widely considered with any mathematical background. A connection of the mathematical description for purposes of the pedagogical cybernetics using process models has been proposed yet. In this paper, an implementation of the proposed mathematical process models is demonstrated in case of applied pedagogical research. Practical results are then verified using statistical methods for hypotheses testing.