On Some Properties of One Class of Control Systems That Operate in Stationary Random Media

The article investigates the behavior of an $(A,F)$ control system in stationary random media $c(p_1,p-2,\dots, p_k)$. Necessary and sufficient conditions are obtained which should be satisfied by a deterministic strongly connected automaton that belongs to a control system with optimum behavior. Systems with finite memory are defined, and their relationships to Ts-systems is established.