Title: Extremal trajectories of left-invariant affine control systems and sub-Riemannian geodesics

Authors: A.Podobryaev

Journal title: Journal of Mathematical Sciences

Year: 2025

Issue: 3

Volume: 295

Pages: 325-333

Citation:

A.Podobryaev. Extremal trajectories of left-invariant affine control systems and sub-Riemannian geodesics // Journal of Mathematical Sciences. 295, 3, 325-333 (2025)

Abstract:

This paper considers left-invariant control systems on Lie groups that are affine in the control (drift systems). We provide conditions under which the drift can be eliminated. We show the relationship between the extremal trajectories of such systems with drift and sub-Riemannian geodesics.