Optimal control on Riemannian manifolds by interpolation

被引：19
|
作者：
Giambò, R
Giannoni, F
Piccione, P
机构：
[1] Univ Camerino, Dipartimento Matemat & Informat, I-62032 Camerino, MC, Italy
[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05315970 Sao Paulo, Brazil
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2004年 / 16卷 / 04期
关键词：
Ljusternik-Schnirelman theory; Morse theory; Riemannian polynomials;
D O I：
10.1007/s00498-003-0139-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We introduce a framework for the study of one-dimensional variational problems of arbitrary order of regularity on manifolds. As an application, we discuss the problem of higher-order interpolation in a Riemannian manifold.
引用
收藏
页码：278 / 296
页数：19
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