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Fundam. Prikl. Mat., 2014, Volume 19, Issue 4, Pages 5–20 (Mi fpm1596)  

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)

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.

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English version:
Journal of Mathematical Sciences (New York), 2016, 217:6, 672–682

Bibliographic databases:

Document Type: Article
UDC: 517.977.52

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://www.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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  • Фундаментальная и прикладная математика
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