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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 8, Pages 1133–1149 (Mi zvmmf3213)  
This article is cited in 2 scientific papers (total in 2 papers)

The maximum principle residual functional in optimal control theory

M. I. Sumin

Gor'kii
Full-text PDF (1763 kB) Citations (2)
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Abstract: The possibilities of applying results related to the so-called maximum principle residual functional to justify and design algorithms for solving optimal control problems and discussed. The differential properties of the value function of the optimal control problem are established. A dual method for solving the optimal control problem, based on maximizing the value function of a modified Lagrange functional, is described.
Received: 22.09.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 4, Pages 117–129
DOI: https://doi.org/10.1016/0041-5553(90)90053-U
Bibliographic databases:
Document Type: Article
UDC: 517.977.56
MSC: Primary 49K15; Secondary 49K40, 49M30
Language: Russian
Citation: M. I. Sumin, “The maximum principle residual functional in optimal control theory”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990), 1133–1149; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 117–129
Citation in format AMSBIB
\Bibitem{Sum90}
\by M.~I.~Sumin
\paper The maximum principle residual functional in optimal control theory
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 8
\pages 1133--1149
\mathnet{http://mi.mathnet.ru/zvmmf3213}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1074159}
\zmath{https://zbmath.org/?q=an:0706.49017}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 4
\pages 117--129
\crossref{https://doi.org/10.1016/0041-5553(90)90053-U}
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    • This publication is cited in the following 2 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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