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Avtomatika i Telemekhanika, 1967, Issue 12, Pages 46–57 (Mi at10974)  

Continuous Systems

Bellman equations for optimal processes with constraints on the phase coordinates

A. I. Moskalenko

Tomsk
Abstract: The equations describing Bellman's function for optimal processes with restrictions on phase coordinates are determined. It is proved that at least more than one of such equations exits. Two equations for the function are released. One of them leads to L. S. Pontryagin's principle of maximum.

Received: 10.02.1966
Bibliographic databases:
Document Type: Article
UDC: 62-50(049.3)
Language: Russian
Citation: A. I. Moskalenko, “Bellman equations for optimal processes with constraints on the phase coordinates”, Avtomat. i Telemekh., 1967, no. 12, 46–57; Autom. Remote Control, 1967, 1853–1864
Citation in format AMSBIB
\Bibitem{1}
\by A.~I.~Moskalenko
\paper Bellman equations for optimal processes with constraints on the phase coordinates
\jour Avtomat. i Telemekh.
\yr 1967
\issue 12
\pages 46--57
\mathnet{http://mi.mathnet.ru/at10974}
\zmath{https://zbmath.org/?q=an:0189.46404}
\transl
\jour Autom. Remote Control
\yr 1967
\pages 1853--1864
Linking options:
  • https://www.mathnet.ru/eng/at10974
  • https://www.mathnet.ru/eng/at/y1967/i12/p46
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