Journal
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
Volume 8, Issue 4, Pages 573-597Publisher
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1020719503741
Keywords
sub-Riemannian geometry; nonholonomic constraints; Pontryagin maximum principle; Lagrangian map; SO(n)-action; caustic
Categories
Ask authors/readers for more resources
In this paper we study the nilpotent (3, 6) sub-Riemannian problem. We describe the envelope of sub-Riemannian geodesics starting from a fixed point. We also describe the wave fronts propagating from the point. For general nilpotent (n, n(n + 1)/2) sub-Riemannian problem we formulate a conjecture about the form of the variety where geodesics starting from a fixed point lose optimality.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available