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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2024 Volume 15, Issue 4, Pages 27–41 (Mi ps454)

Optimization Methods and Control Theory

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

I. V. Rasinaa, A. O. Blinovb

a Ailamazyan Program Systems Institute of RAS, Ves’kovo, Russia
b Russian State Social University, Moscow, Russia

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.

UDC: 517.977
BBK: 22.182: 22.185.42

MSC: Primary 49M25; Secondary 49K21, 49N99

Received: 08.07.2024
Accepted: 02.11.2024

DOI: 10.25209/2079-3316-2024-15-4-27-41



© Steklov Math. Inst. of RAS, 2025