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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2006, Volume 12, Number 1, Pages 208–215 (Mi timm144)  
This article is cited in 4 scientific papers (total in 4 papers)

A numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions

N. N. Subbotina, T. B. Tokmantsev
Full-text PDF (310 kB) Citations (4)
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Abstract: A new numerical method is suggested for constructing the value function in optimal control problems of prescribed duration with positional running cost along motions of controlled dynamical systems. The algorithm is based on a backward procedure involving characteristics of the Bellman equation. Estimations of the approximation are provided. Results of simulations for a model example are exposed.
Received: 14.01.2006
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2006, Volume 253, Issue 1, Pages S221–S228
DOI: https://doi.org/10.1134/S0081543806050166
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: N. N. Subbotina, T. B. Tokmantsev, “A numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions”, Dynamical systems: modeling, optimization, and control, Trudy Inst. Mat. i Mekh. UrO RAN, 12, no. 1, 2006, 208–215; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S221–S228
Citation in format AMSBIB
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\by N.~N.~Subbotina, T.~B.~Tokmantsev
\paper A~numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions
\inbook Dynamical systems: modeling, optimization, and control
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2006
\vol 12
\issue 1
\pages 208--215
\mathnet{http://mi.mathnet.ru/timm144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2247237}
\zmath{https://zbmath.org/?q=an:1122.49026}
\elib{https://elibrary.ru/item.asp?id=12040729}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2006
\vol 253
\issue , suppl. 1
\pages S221--S228
\crossref{https://doi.org/10.1134/S0081543806050166}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746932890}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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