I. A. Krylov, F. L. Chernous'ko, “Solution of the problems of optimal control by the method of local variations”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966), 203–217; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 12

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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki

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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1966, Volume 6, Number 2, Pages 203–217 (Mi zvmmf8496)

This article is cited in 11 scientific papers (total in 11 papers)

Solution of the problems of optimal control by the method of local variations

I. A. Krylov, F. L. Chernous'ko

Moscow

Full-text PDF (1677 kB) Citations (11)

Received: 10.06.1965

English version:
USSR Computational Mathematics and Mathematical Physics, 1966, Volume 6, Issue 2, Pages 12–31
DOI: https://doi.org/10.1016/0041-5553(66)90055-3

Bibliographic databases:

Document Type: Article

UDC: 518:51:62-50

Language: Russian

Citation: I. A. Krylov, F. L. Chernous'ko, “Solution of the problems of optimal control by the method of local variations”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966), 203–217; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 12–31

Citation in format AMSBIB

\Bibitem{KryChe66}

\by I.~A.~Krylov, F.~L.~Chernous'ko

\paper Solution of the problems of optimal control by the method of local variations

\jour Zh. Vychisl. Mat. Mat. Fiz.

\yr 1966

\vol 6

\issue 2

\pages 203--217

\mathnet{http://mi.mathnet.ru/zvmmf8496}

\zmath{https://zbmath.org/?q=an:0163.10901}

\transl

\jour U.S.S.R. Comput. Math. Math. Phys.

\yr 1966

\vol 6

\issue 2

\pages 12--31

\crossref{https://doi.org/10.1016/0041-5553(66)90055-3}

Linking options:

https://www.mathnet.ru/eng/zvmmf8496

https://www.mathnet.ru/eng/zvmmf/v6/i2/p203

Erratum

Errata
Zh. Vychisl. Mat. Mat. Fiz., 1966, 6:5, 786

This publication is cited in the following 11 articles:

David A.B. Hyde, Michael Bao, Ronald Fedkiw, “On obtaining sparse semantic solutions for inverse problems, control, and neural network training”, Journal of Computational Physics, 443 (2021), 110498
A. V. Fominykh, V. V. Karelin, L. N. Polyakova, “Gradientnyi metod resheniya nekotorykh tipov differentsialnykh vklyuchenii”, Tr. IMM UrO RAN, 26, no. 1, 2020, 256–273
E.L. Hart, V.S. Hudramovich, “Projection-iterative modification of the method of local variations for problems with a quadratic functional”, Journal of Applied Mathematics and Mechanics, 80:2 (2016), 156
Tatiana Kasatkina, Alexander Krishchenko, “Variations Method to Solve Terminal Problems for the Second Order Systems of Canonical Form with State Constraints”, S&E BMSTU, 15:05 (2015)
H. P. Barendregt, I. V. Dolgachev, G. Rozenberg, A. Salomaa, A. P. Soldatov, A. F. Leont'ev, V. F. Emel'yanov, I. P. Egorov, N. Kh. Rozov, V. V. Rumyantsev, I. B. Vapnyarskiǐ, L. D. Kudryavtsev, M. K. Samarin, I. V. Proskuryakov, V. M. Millionshchikov, N. N. Vil'yams, S. A. Stepanov, S. M. Voronin, I. V. Volovich, D. V. Anosov, D. D. Sokolov, P. K. Suetin, Yu. A. Brychkov, A. P. Prudnikov, A. B. Ivanov, M. I. Voǐtsekhovskiǐ, V. I. Bityutskov, V. A. Chuyanov, G. V. Kuz'mina, H. Maassen, E. D. Solomentsev, E. V. Shikin, A. V. Prokhorov, E. G. D'yakonov, M. V. Fedoryuk, M. A. Shubin, V. T. Bazylev, N. S. Zhavrid, V. V. Okhrimenko, Yu. M. Davydov, B. M. Bredikhin, V. V. Parail, V. I. Danilov, V. M. Mikheev, L. A. Skornyakov, N. G. Ushakov, V. M. Kopytov, T. S. Fofanova, V. A. Zorich, V. L. Popov, Yu. V. Prohorov, V. E. Plisko, V. V. Petrov, V. I. Nechaev, A. A. Bukhshtab, M. S. Nikulin, L. N. Bol'shev, K. I. Oskolkov, B. I. Golubov, V. V. , Encyclopaedia of Mathematics, 1995, 443
C. Seshadri, A. Ghosh, “Optimum path planning for robot manipulators amid static and dynamic obstacles”, IEEE Trans. Syst., Man, Cybern., 23:2 (1993), 576
C. Seshadri, A. Ghosh, [Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society, 1990, 676
M. Hazewinkel, Encyclopaedia of Mathematics, 1990, 1
Mathematics in Science and Engineering, 131, The Hamilton-Jacobi Equation A Global Approach, 1977, 133
J. Lions, “Partial differential inequalities”, Russian Math. Surveys, 27:2 (1972), 91–159
N. N. Moiseev, “Application of optimal control theory to problems of optimal programming”, Cybern Syst Anal, 2:2 (1969), 34

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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