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Fundamentalnaya i Prikladnaya Matematika, 1999, Volume 5, Issue 3, Pages 757–763 (Mi fpm418)  

This article is cited in 1 scientific paper (total in 1 paper)

"New computer technologies in control systems" — Papers from the 3rd International Workshop held in Pereslavl'-Zalesskii, July 29 – August 2, 1996

Linear optimal control problem with convex homogeneous functional

G. V. Shevchenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (268 kB) Citations (1)
Abstract: The iterative method of solving the linear optimal control problem with convex homogeneous nonnegative functional is proposed. As the approach based on the Pontryagin maximum principle, this one is characterized by using supporting properties of convex sets and approximations of convex sets with a family of adjacent simplices.
Received: 01.04.1997
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: G. V. Shevchenko, “Linear optimal control problem with convex homogeneous functional”, Fundam. Prikl. Mat., 5:3 (1999), 757–763
Citation in format AMSBIB
\Bibitem{She99}
\by G.~V.~Shevchenko
\paper Linear optimal control problem with convex homogeneous functional
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 3
\pages 757--763
\mathnet{http://mi.mathnet.ru/fpm418}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1806852}
\zmath{https://zbmath.org/?q=an:0967.49021}
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  • https://www.mathnet.ru/eng/fpm/v5/i3/p757
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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