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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 2, Pages 86–98 (Mi vngu145)  
This article is cited in 1 scientific paper (total in 1 paper)

The Method of Penalty Function in One Problem of Optimal Control with Phase Constraint

K. S. Musabekov

Novosibirsk State University
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Abstract: The problem solving optimal control problems with state constraints, by replacing the phase constraint penalty function in the target functional. Was established the existance of optimal control in this problem and prove the convergence of state variables and control for an indefinite increase of the penalty coefficient.
Keywords: optimal control, chemical reactor, existence solution, functional, differential equations, penalty function.
Received: 02.07.2010
English version:
Journal of Mathematical Sciences, 2014, Volume 203, Issue 4, Pages 558–569
DOI: https://doi.org/10.1007/s10958-014-2159-6
Document Type: Article
UDC: 517.977.57:517.95
Language: Russian
Citation: K. S. Musabekov, “The Method of Penalty Function in One Problem of Optimal Control with Phase Constraint”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:2 (2013), 86–98; J. Math. Sci., 203:4 (2014), 558–569
Citation in format AMSBIB
\Bibitem{Mus13}
\by K.~S.~Musabekov
\paper The Method of Penalty Function in One Problem of Optimal Control with Phase Constraint
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2013
\vol 13
\issue 2
\pages 86--98
\mathnet{http://mi.mathnet.ru/vngu145}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 4
\pages 558--569
\crossref{https://doi.org/10.1007/s10958-014-2159-6}
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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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