Presymplectic Integrators for Optimal Control Problems via Retraction Maps

被引：0
|
作者：
Barbero Linan, Maria [1 ]
Martin de Diego, David [2 ]
机构：
[1] Univ Politecn Madrid, Dept Matemat Aplicada, Av Juan de Herrera 4, Madrid 28040, Spain
[2] Inst Ciencias Matemat CSIC UAM UC3M UCM, C Nicolas Cabrera 13-15, Madrid 28049, Spain
来源：
CONTROLO 2022 | 2022年 / 930卷
关键词：
Retraction maps; Geometric integrators; Presymplectic methods; Optimal control problems; DISCRETE MECHANICS; MANIFOLDS;
D O I：
10.1007/978-3-031-10047-5_65
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Pontryagin's Maximum Principle provides an optimal control problem with a Hamiltonian formulation. A discretization of a presymplectic manifold associated with the problem is obtained by using the notion of retraction map. As a result, numerical integrators that preserve the presymplectic structure, a closed degenerate 2-form, are obtained to solve the problem.
引用
收藏
页码：735 / 745
页数：11
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