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

页码：573 / 597

页数：25

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