Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2017, Volume 13, Issue 1, Pages 113–118
DOI: https://doi.org/10.21638/11701/spbu10.2017.111 (Mi vspui326) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Control processes

Existence theorems for optimal control in some problems of trajectories bundles control

M. S. Nikolskiia, E. A. Belyaevskikhb

a Steklov Mathematical Institute of RAS, 8, Gubkina ul., Moscow, 119991, Russian Federation
b Peoples' Friendship University of Russia, 6, Miklukho-Maklaia ul., Moscow, 117198, Russian Federation
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DOI: https://doi.org/10.21638/11701/spbu10.2017.111
Abstract: In the paper, some control problems by bundles of trajectories for controlled system are considered. For example, such problems arise if initial point of system is not exactly known. Such inaccuracy essentially complicates control of system. Analogous problems arise in modeling of dynamics for bundles of charged particles. In the paper, some sufficient conditions for existence of optimal control in some problems of control by bundles of trajectories were obtained. Refs 6.
Keywords: controlled object, trajectories bundles, weak convergence of functions.
Received: December 12, 2017
Accepted: January 19, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: M. S. Nikolskii, E. A. Belyaevskikh, “Existence theorems for optimal control in some problems of trajectories bundles control”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 13:1 (2017), 113–118
Citation in format AMSBIB
\Bibitem{NikBel17}
\by M.~S.~Nikolskii, E.~A.~Belyaevskikh
\paper Existence theorems for optimal control in some problems of trajectories bundles control
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2017
\vol 13
\issue 1
\pages 113--118
\mathnet{http://mi.mathnet.ru/vspui326}
\crossref{https://doi.org/10.21638/11701/spbu10.2017.111}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3654434}
\elib{https://elibrary.ru/item.asp?id=29143348}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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