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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 7, Pages 1123–1150 (Mi zvmmf274)  
This article is cited in 6 scientific papers (total in 6 papers)

Necessary extremum conditions in the optimal control problem with state constraints

D. Yu. Karamzin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (3160 kB) Citations (6)
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Abstract: The optimal control problem with state constraints is examined. An alternative to the available approaches to the study of this problem is proposed. The maximum principle and second-order necessary conditions are proved.
Key words: optimal control problem, maximum principle, state constraints.
Received: 11.10.2005
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 7, Pages 1073–1100
DOI: https://doi.org/10.1134/S0965542507070020
Bibliographic databases:
Document Type: Article
UDC: 519.626.2
Language: Russian
Citation: D. Yu. Karamzin, “Necessary extremum conditions in the optimal control problem with state constraints”, Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007), 1123–1150; Comput. Math. Math. Phys., 47:7 (2007), 1073–1100
Citation in format AMSBIB
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\by D.~Yu.~Karamzin
\paper Necessary extremum conditions in the optimal control problem with state constraints
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 7
\pages 1123--1150
\mathnet{http://mi.mathnet.ru/zvmmf274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2376656}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 7
\pages 1073--1100
\crossref{https://doi.org/10.1134/S0965542507070020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547679759}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i7/p1123
    Erratum
    • Correction
      D. Yu. Karamzin
      Zh. Vychisl. Mat. Mat. Fiz., 2008, 48:2, 352
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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