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Program Systems: Theory and Applications, 2023, Volume 14, Issue 1, Pages 125–148
DOI: https://doi.org/10.25209/2079-3316-2023-14-1-125-148
(Mi ps419)
 

This article is cited in 1 scientific paper (total in 1 paper)

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
References:
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.
Funding agency Grant number
Russian Science Foundation 21-11-00202
This work was supported by the Russian Science Foundation grant No. 21-11-00202.
Received: 27.01.2022
16.03.2023
Accepted: 17.03.2023
Document Type: Article
UDC: 517.977.5
MSC: Primary 49M99; Secondary 49K99
Language: Russian
Citation: I. V. Rasina, I. S. Guseva, “About one class of discrete-continuous systems with parameters”, Program Systems: Theory and Applications, 14:1 (2023), 125–148
Citation in format AMSBIB
\Bibitem{RasGus23}
\by I.~V.~Rasina, I.~S.~Guseva
\paper About one class of discrete-continuous systems with parameters
\jour Program Systems: Theory and Applications
\yr 2023
\vol 14
\issue 1
\pages 125--148
\mathnet{http://mi.mathnet.ru/ps419}
\crossref{https://doi.org/10.25209/2079-3316-2023-14-1-125-148}
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  • https://www.mathnet.ru/eng/ps/v14/i1/p125
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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