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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 4, Pages 5–20 (Mi fpm1596)  
This article is cited in 1 scientific paper (total in 1 paper)

Mix of controls and the Pontryagin maximum principle

E. R. Avakova, G. G. Magaril-Il'yaevbc

a V. A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
b Lomonosov Moscow State University
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute)
Full-text PDF (179 kB) Citations (1)
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Abstract: In this paper, necessary conditions for a minimum (the Pontryagin maximum principle) for an optimal control problem are proved on the basis of the concept of a mix, which enables one to reduce the study of the original problem to some approximation thereof, which is linear in the control. The study of the latter problem proves more simple.
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 217, Issue 6, Pages 672–682
DOI: https://doi.org/10.1007/s10958-016-2999-3
Bibliographic databases:
Document Type: Article
UDC: 517.977.52
Language: Russian
Citation: E. R. Avakov, G. G. Magaril-Il'yaev, “Mix of controls and the Pontryagin maximum principle”, Fundam. Prikl. Mat., 19:4 (2014), 5–20; J. Math. Sci., 217:6 (2016), 672–682
Citation in format AMSBIB
\Bibitem{AvaMag14}
\by E.~R.~Avakov, G.~G.~Magaril-Il'yaev
\paper Mix of controls and the Pontryagin maximum principle
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 4
\pages 5--20
\mathnet{http://mi.mathnet.ru/fpm1596}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431883}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 217
\issue 6
\pages 672--682
\crossref{https://doi.org/10.1007/s10958-016-2999-3}
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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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    		Фундаментальная и прикладная математика
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