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Mathematics of the USSR-Sbornik, 1987, Volume 58, Issue 1, Pages 15–30
DOI: https://doi.org/10.1070/SM1987v058n01ABEH003090 (Mi sm1848) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On reduction of a smooth system linear in the control

A. A. Agrachev, A. V. Sarychev
English version PDF (878 kB) Citations (15) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1987v058n01ABEH003090
Abstract: A method is presented for reducing a smooth system linear in the control on an $n$-dimensional manifold $M$ to a nonlinear system on an $(n-1)$-dimensional manifold. This reduction is used to obtain sufficient conditions for a high order of local controllability of the system, and the problem of a time-optimal control of the angular momentum of a rotating rigid body is investigated.
Bibliography: 7 titles.
Received: 11.03.1985
Bibliographic databases:
Document Type: Article
UDC: 517.977.1+514.7
MSC: Primary 49B10, 49E15; Secondary 58F25, 93B05
Language: English
Original paper language: Russian
Citation: A. A. Agrachev, A. V. Sarychev, “On reduction of a smooth system linear in the control”, Math. USSR-Sb., 58:1 (1987), 15–30
Citation in format AMSBIB
\Bibitem{AgrSar86}
\by A.~A.~Agrachev, A.~V.~Sarychev
\paper On reduction of a smooth system linear in the control
\jour Math. USSR-Sb.
\yr 1987
\vol 58
\issue 1
\pages 15--30
\mathnet{http://mi.mathnet.ru//eng/sm1848}
\crossref{https://doi.org/10.1070/SM1987v058n01ABEH003090}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=847341}
\zmath{https://zbmath.org/?q=an:0678.49034}
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  • https://doi.org/10.1070/SM1987v058n01ABEH003090
  • https://www.mathnet.ru/eng/sm/v172/i1/p18
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:524
    Russian version PDF:114
    English version PDF:13
    References:79
    First page:2
     
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