This article is cited 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.

UDC: 517.988+519.71

MSC: 58E25, 58K25, 58K50

Received: 05.03.2010 and 13.12.2011

DOI: 10.4213/sm7705

 English version: Sbornik: Mathematics, 2012, 203:3, 406–423

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