To the problem of controllability in feedback systems

The analysis of the conditions for maintaining controllability in feedback systems based on the involvement of the principle of Ashby’s necessary diversity is carried out. It is shown that when performing operational control procedures that ensure the routine functioning of systems, the task of maintaining controllability is reduced to fulfilling the conditions of isomorphism of the set of its states and the set of control actions. In the implementation of hierarchical management, proceeding under conditions of incomplete certainty, the probability of positive feedback arises, which can lead to a further increase in uncertainty and, ultimately, to a loss of controllability.