V. M. Zakalyukin, A. N. Kurbatskii, “Envelope Singularities of Families of Planes in Control Theory”, Trudy Mat. Inst. Steklova, 2008, Volume 262,Pages <nobr>73

This article is cited in 9 papers

Envelope Singularities of Families of Planes in Control Theory

V. M. Zakalyukin^ab, A. N. Kurbatskii^a

^a M. V. Lomonosov Moscow State University
^b University of Liverpool

Abstract: 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.

UDC: 517.988+519.71

Received in April 2008