One method of optimal control searching in a heterogeneous discrete systems with a delay in the state of processes

It is considered a class of non-homogeneous discrete systems (DNS) with intermediate criteria containing two levels. Lower-level systems include delayed state variables. Such DNS are presented in practice and are obtained in the process of discretization of continuous systems when solving optimization problems using iterative methods. For this class, an analogue of Krotov’s sufficient optimality conditions is proposed, on the basis of which a method for improving control is constructed. The proposed method is illustrated with an example.