Hierarchy of information elements in control systems with feedback

The article discusses control systems of the most diverse nature. In information flows coming through the channels of direct and feedback, the properties of control elements depend on the specified operations within the represented groups and subgroups. The ratios of individual elements in communication channels represent a set of logical conditions for determining the dynamic coupling between them. The operation of transforming a subgroup from the original group is reduced to finding the differences between the individual element of one subgroup and a specific element of another subgroup. The vectors of these differences generate a subspace that consists of linear combinations that additively form subgroups. The results of these operations on the elements allow us to identify the equilibrium differences between the elements of the direct set in control systems.