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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 3, Pages 383–401
DOI: https://doi.org/10.1070/SM1982v041n03ABEH002238 (Mi sm2813) 		 
This article is cited in 26 scientific papers (total in 26 papers)

The index of the second variation of a control system

A. V. Sarychev
English version PDF (1163 kB) Citations (26)
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DOI: https://doi.org/10.1070/SM1982v041n03ABEH002238
Abstract: The constancy of sign of the second variation of a nonlinear control system is investigated. Sufficient conditions for controllability of second order and also sufficient conditions for optimality with respect to fast action of the extremals of this system analogous to the Legendre–Jacobi conditions of the classical calculus of variation are obtained.
Bibliography: 6 titles.
Received: 05.03.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 113(155), Number 3(11), Pages 464–486
Bibliographic databases:
UDC: 519.3
MSC: 49B10, 93B05
Language: English
Original paper language: Russian
Citation: A. V. Sarychev, “The index of the second variation of a control system”, Mat. Sb. (N.S.), 113(155):3(11) (1980), 464–486; Math. USSR-Sb., 41:3 (1982), 383–401
Citation in format AMSBIB
\Bibitem{Sar80}
\by A.~V.~Sarychev
\paper The index of the second variation of a~control system
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 113(155)
\issue 3(11)
\pages 464--486
\mathnet{http://mi.mathnet.ru/sm2813}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=601890}
\zmath{https://zbmath.org/?q=an:0484.49012}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 3
\pages 383--401
\crossref{https://doi.org/10.1070/SM1982v041n03ABEH002238}
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  • https://www.mathnet.ru/eng/sm/v155/i3/p464
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:674
    Russian version PDF:167
    English version PDF:14
    References:74
    First page:2
     
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