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

Program Systems: Theory and Applications, 2023 Volume 14, Issue 1, Pages 125–148 (Mi ps419)

Optimization Methods and Control Theory

About one class of discrete-continuous systems with parameters

I. V. Rasinaab, I. S. Gusevac

a Ailamazyan Program Systems Institute of RAS, Ves’kovo, Russia
b Federal Research Center "Computer Science and Control" of RAS, Moscow, Russia
c Buryat State University, Ulan-Ude, Russia

Abstract: The study focuses on a special case of a hybrid system: discretecontinuous systems (DCS) with parameters and intermediate criteria. Such systems are two-level. The parameters are included only in continuous systems operating alternately at the lower level. The upper level is described by a discrete process and plays a connecting role for all the lower-level systems. The upper level also determines the policy of interaction of lower-level systems and provides minimization of functionality. The authors formulate an analogue of sufficient Krotov optimality conditions and construct a method for improving control and parameters. The paper contains an illustrative example. Based on the general conditions obtained, we have researched a special case: quasilinear DNS.

Key words and phrases: discrete-continuous systems with parameters, intermediate criteria, optimal control, quasilinear discrete-continuous systems.

UDC: 517.977.5

MSC: Primary 49M99; Secondary 49K99

Received: 27.01.2022
16.03.2023
Accepted: 17.03.2023

DOI: 10.25209/2079-3316-2023-14-1-125-148



© Steklov Math. Inst. of RAS, 2024