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Program Systems: Theory and Applications, 2022, Volume 13, Issue 4, Pages 139–162
DOI: https://doi.org/10.25209/2079-3316-2022-13-4-139-162
(Mi ps413)
 

Optimization Methods and Control Theory

Approximate synthesis of optimal control in the vicinity of the relative minimum for discrete-continuous systems

I. V. Rasinaab, A. O. Blinovc

a Federal Research Center "Computer Science and Control" of RAS, Moscow, Russia
b Ailamazyan Program Systems Institute of RAS, Ves'kovo, Russia
c Russian State Social University, Moscow, Russia
References:
Abstract: A way of constructing a method of approximate synthesis of optimal control for discrete-continuous systems (DNS) based on sufficient conditions for a relative minimum is considered. The construction is carried out in the vicinity of the previously found relative minimum. An estimate of the accuracy of such a construction is given and an illustrative example is given.
Key words and phrases: discrete-continuous systems, sufficient optimality conditions, approximate optimal control synthesis, relative minimum.
Funding agency Grant number
Russian Science Foundation 21-11-00202
The work was supported by the Russian Science Foundation (project no. 21-11-00202).
Received: 14.10.2022
Accepted: 10.11.2022
Document Type: Article
UDC: 517.977
BBC: 22.182:22.185.42
MSC: Primary 49M30; Secondary 49N10
Language: Russian
Citation: I. V. Rasina, A. O. Blinov, “Approximate synthesis of optimal control in the vicinity of the relative minimum for discrete-continuous systems”, Program Systems: Theory and Applications, 13:4 (2022), 139–162
Citation in format AMSBIB
\Bibitem{RasBli22}
\by I.~V.~Rasina, A.~O.~Blinov
\paper Approximate synthesis of optimal control in the vicinity
of the relative minimum for discrete-continuous systems
\jour Program Systems: Theory and Applications
\yr 2022
\vol 13
\issue 4
\pages 139--162
\mathnet{http://mi.mathnet.ru/ps413}
\crossref{https://doi.org/10.25209/2079-3316-2022-13-4-139-162}
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