Nilpotent (3,6) sub-Riemannian problem

被引：30
|
作者：
Myasnichenko, O
机构：
[1] Moscow Inst Aviat Technol, Dept Math, Moscow 125080, Russia
[2] SISSA, ISAS, I-34014 Trieste, Italy
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2002年 / 8卷 / 04期
关键词：
sub-Riemannian geometry; nonholonomic constraints; Pontryagin maximum principle; Lagrangian map; SO(n)-action; caustic;
D O I：
10.1023/A:1020719503741
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：573 / 597
页数：25
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