Title: Maxwell strata in sub-Riemannian problem on the group of motions of a plane

Authors: I. Moiseev, Yu. L. Sachkov

Journal title: ESAIM: Control, Optimisation and Calculus of Variations

Year: 2010

Volume: 16

Pages: 380-399

Abstract:

The left-invariant sub-Riemannian problem on the group of motions of a plane is considered. Sub-Riemannian geodesics are parameterized by Jacobi’s functions. Discrete symmetries of the problem generated by reflections of pendulum are described. The corresponding Maxwell points are characterized, on this basis an upper bound on the cut time is obtained.

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