Abstract
We consider the left-invariant sub-Riemannian structure on the free nilpotent Lie group of rank 2 and step 4, this structure has growth vector (2,3,5,8). We describe abnormal trajectories and study the abnormal set, i.e., the set of points filled by abnormal trajectories starting at the identity. In particular, we show that this set is subanalytic of dimension 5. Moreover, this set is not closed, not smooth, and not semianalytic.
We discuss optimality of abnormal trajectories.
Fimally, we present some open questions.

Автор: Yu.L. Sachkov, E.F. Sachkova

Дата: 5th February, 2021

Время: 14:00

Место:

Dynamic Control and Optimization, International Conference on occasion of 65th birthday of Andrey V. Sarychev

Презентация: Download