Sub-riemannian metrics : minimality of abnormal geodesics versus subanalyticity
Andrei A. Grachev, Andrei V. Sarychev (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Displaying similar documents to “Projective Reeds-Shepp car on S2 with quadratic cost”
Sub-riemannian metrics : minimality of abnormal geodesics versus subanalyticity
Conjugate and cut loci of a two-sphere of revolution with application to optimal control
Bernard Bonnard, Jean-Baptiste Caillau, Robert Sinclair, Minoru Tanaka (2009)
Annales de l'I.H.P. Analyse non linéaire
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Hadamard's fundamental solution and multiple-characteristic problems.
Chi, M.Y. (1998)
Rendiconti del Seminario Matematico
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Sub-riemannian sphere in Martinet flat case
A. Agrachev, B. Bonnard, M. Chyba, I. Kupka (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Maxwell strata in sub-Riemannian problem on the group of motions of a plane
Igor Moiseev, Yuri L. Sachkov (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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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.