NEIGHBORING EXTREMAL OPTIMAL CONTROL FOR MECHANICAL SYSTEMS ON RIEMANNIAN MANIFOLDS

被引：9

作者：

Bloch, Anthony M. ^{[1
]}

Gupta, Rohit ^{[2
]}

Kolmanovsky, Ilya V. ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2016年 / 8卷 / 03期

关键词：

Lie groups; mechanical systems; neighboring extremal optimal control; optimal control; Riemannian manifolds; CONJUGATE-POINTS; LIPSCHITZIAN STABILITY; REDUCTION;

D O I：

10.3934/jgm.2016007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend neighboring extremal optimal control, which is well established for optimal control problems defined on a Euclidean space (see, e.g., [8]) to the setting of Riemannian manifolds. We further specialize the results to the case of Lie groups. An example along with simulation results is presented.

引用

页码：257 / 272

页数：16

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