Study on geometric structures on Lie algebroids with optimal control applications

被引：2

作者：

Peyghan, Esmaeil ^{[1
]}

Popescu, Liviu ^{[2
]}

机构：

[1] Arak Univ, Dept Math, Fac Sci, Arak 3815688349, Iran

[2] Univ Craiova, Fac Econ & Business Adm, Dept Stat & Econ Informat, 13 Al I Cuza St, Craiova 200585, Romania

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2020年 / 27卷 / 04期

关键词：

Berwald and Yano-derivatives; Covariant derivative; Douglas tensor; Lie algebroid; Optimal control;

D O I：

10.1080/14029251.2020.1819604

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct rho()-covariant pound derivatives in pi*pi as the generalization of covariant derivative in pi*pi to E- pound pi. Moreover, we introduce Berwald and Yano derivatives as two important classes of rho()-covariant pound derivatives in pi*pi and we study properties of them. Finally, we solve an optimal control problem using some geometric structures and Pontryagin Maximum Principle on Lie algebroids.

引用

页码：550 / 580

页数：31

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