Envelope singularities of families of planes in control theory

  • V. M. Zakalyukin
  • A. N. Kurbatskii


Generic singularities of the local transitivity set for control systems with nonconvex indicatrix on three-dimensional manifolds are classified. A simple recognition criterion for generic singularities of envelopes of bi-tangents to space curves is described.


Convex Hull STEKLOV Institute Support Plane Space Curf Transversality Theorem 
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Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • V. M. Zakalyukin
    • 1
    • 2
  • A. N. Kurbatskii
    • 1
  1. 1.Moscow State UniversityMoscowRussia
  2. 2.University of LiverpoolLiverpoolUnited Kingdom

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