Geometric reduction in optimal control theory with symmetries

被引：23

作者：

Echeverría-Enríquez, A

Marín-Solano, J

Muñoz-Lecanda, MC

Román-Roy, N

机构：

[1] Dept Matemat Aplicada IV, Barcelona 08034, Spain

[2] Univ Barcelona, Dept Matemat Econ Financera & Actuarial, Barcelona 08034, Spain

[3] Dept Matemat Aplicada IV, Barcelona 08034, Spain

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2003年 / 52卷 / 01期

关键词：

symmetries; reduction; optimal control; presymplectic Hamiltonian systems;

D O I：

10.1016/S0034-4877(03)90006-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general study of symmetries in optimal control theory is given, starting from the presymplectic description of this kind of systems. Then, Noether's theorem, as well as the corresponding reduction procedure (based on the application of the Marsden-Weinstein theorem adapted to the presymplectic case) are stated both in the regular and singular cases, which are previously described.

引用

页码：89 / 113

页数：25