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Sbornik: Mathematics, 2012, Volume 203, Issue 3, Pages 406–423
DOI: https://doi.org/10.1070/SM2012v203n03ABEH004228
(Mi sm7705)
 

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

Convex hulls of a curve in control theory

A. N. Kurbatskii

Moscow School of Economics of Lomonosov MSU
References:
Abstract: A classification is obtained for typical singularities of the local transitivity sets of control systems on three-dimensional manifolds with nonconvex indicatrices that are closed smooth spatial curves.
Bibliography: 8 titles.
Keywords: transitivity set, singularity, convex hull.
Received: 05.03.2010 and 13.12.2011
Bibliographic databases:
Document Type: Article
UDC: 517.988+519.71
MSC: 58E25, 58K25, 58K50
Language: English
Original paper language: Russian
Citation: A. N. Kurbatskii, “Convex hulls of a curve in control theory”, Sb. Math., 203:3 (2012), 406–423
Citation in format AMSBIB
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\by A.~N.~Kurbatskii
\paper Convex hulls of a~curve in control theory
\jour Sb. Math.
\yr 2012
\vol 203
\issue 3
\pages 406--423
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\crossref{https://doi.org/10.1070/SM2012v203n03ABEH004228}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2961734}
\zmath{https://zbmath.org/?q=an:1250.58007}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012SbMat.203..406K}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862062638}
Linking options:
  • https://www.mathnet.ru/eng/sm7705
  • https://doi.org/10.1070/SM2012v203n03ABEH004228
  • https://www.mathnet.ru/eng/sm/v203/i3/p107
  • This publication is cited in the following 1 articles:
    1. V. M. Zakalyukin, A. N. Kurbatskii, “Convex hulls of indicatrices and singularities of the transitivity zone in $\mathbb R^3$”, J. Math. Sci. (N. Y.), 195:3 (2013), 412–426  crossref  mathscinet  zmath  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:641
    Russian version PDF:265
    English version PDF:13
    References:69
    First page:35
     
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