13 citations · 14 across the 2 of their papers we have counts for
2 papers
math.OC2016★ 13 cited
Controlling of a mobile robot with a trailer and its nilpotent approximation
Andrey A. Ardentov
The work studies a number of approaches to solving motion planning problem for a mobile robot with a trailer. Different control models of car-like robots are considered from the di…
math.DG2015★ 1 cited
Extremals in the Engel group with a sub-Lorentzian metric
Andrey Ardentov, Tiren Huang, Yuri L. Sachkov +1
Let E be the Engel group and D be a rank 2 bracket generating left invariant distribution with a Lorentzian metric, which is a nondegenerate metric of index 1. In this paper, we fi…