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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
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.
DOI:
https://doi.org/10.4213/sm7705
Full text:
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English version:
Sbornik: Mathematics, 2012, 203:3, 406–423
Bibliographic databases:
UDC:
517.988+519.71
MSC: 58E25, 58K25, 58K50 Received: 05.03.2010 and 13.12.2011
Citation:
A. N. Kurbatskii, “Convex hulls of a curve in control theory”, Mat. Sb., 203:3 (2012), 107–126; Sb. Math., 203:3 (2012), 406–423
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/msb7705https://doi.org/10.4213/sm7705 http://mi.mathnet.ru/eng/msb/v203/i3/p107
Citing articles on Google Scholar:
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Related articles on Google Scholar:
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This publication is cited in the following articles:
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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
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