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Avtomatika i Telemekhanika, 1976, Issue 11, Pages 28–39 (Mi at8173)  
This article is cited in 2 scientific papers (total in 2 papers)

Deterministic Systems

On an inductive method for studying singular extremals

S. L. Kaganovich

Leningrad
Full-text PDF (1869 kB) Citations (2)
Abstract: The singular extremal path is studied in a terminal optimal control problem. A method is proposed in which the combined effect of needle-like control variations at different times is studied. The notion of induced Hamiltonians is introduced and the mutuality principle is established for them. In terms of induced Hamiltonians the necessary optimality condition is formulated which is valid even in the case where the extremal path degenerates into second and higher order ones.

Received: 29.04.1975
Bibliographic databases:
Document Type: Article
UDC: 62-50:519.2
Language: Russian
Citation: S. L. Kaganovich, “On an inductive method for studying singular extremals”, Avtomat. i Telemekh., 1976, no. 11, 28–39; Autom. Remote Control, 37:11 (1976), 1651–1660
Citation in format AMSBIB
\Bibitem{Kag76}
\by S.~L.~Kaganovich
\paper On an inductive method for studying singular extremals
\jour Avtomat. i Telemekh.
\yr 1976
\issue 11
\pages 28--39
\mathnet{http://mi.mathnet.ru/at8173}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=438215}
\zmath{https://zbmath.org/?q=an:0354.49014}
\transl
\jour Autom. Remote Control
\yr 1976
\vol 37
\issue 11
\pages 1651--1660
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  • https://www.mathnet.ru/eng/at/y1976/i11/p28
    • 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
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