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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 2, Pages 7–25 (Mi timm928)  

This article is cited in 8 scientific papers (total in 8 papers)

Linear programming and dynamics

A. S. Antipina, E. V. Khoroshilovab

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences
b Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (240 kB) Citations (8)
References:
Abstract: A linear boundary value problem of optimal control is considered in a Hilbert space. The problem is based on linear dynamics and a terminal problem of linear programming at the right end of the time interval. A saddle method is proposed for its solution, and its convergence is proved.
Keywords: linear programming, optimal control, boundary value problems, solution methods, convergence, stability.
Received: 12.02.2013
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. S. Antipin, E. V. Khoroshilova, “Linear programming and dynamics”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 7–25
Citation in format AMSBIB
\Bibitem{AntKho13}
\by A.~S.~Antipin, E.~V.~Khoroshilova
\paper Linear programming and dynamics
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 2
\pages 7--25
\mathnet{http://mi.mathnet.ru/timm928}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3363369}
\elib{https://elibrary.ru/item.asp?id=19053964}
Linking options:
  • https://www.mathnet.ru/eng/timm928
  • https://www.mathnet.ru/eng/timm/v19/i2/p7
    Translation
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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