Abstract:
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.
Key words and phrases:non-homogeneous discrete systems, delay in the state of processes, intermediate criteria, optimal control problem.