Cut time in the sub-Riemannian problem on the Cartan group
نویسندگان
چکیده
We study the sub-Riemannian structure determined by a left-invariant distribution of rank 2 on step 3 Carnot group dimension 5. prove conjectured cut times Yu. Sachkov for Cartan problem. Along proof, we obtain comparison with known in Engel group, and sufficient (generic) condition uniqueness length minimizer between two points. Hence reduce optimal synthesis to solving certain system equations elliptic functions.
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ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2022
ISSN: ['1262-3377', '1292-8119']
DOI: https://doi.org/10.1051/cocv/2022006