Study on geometric structures on Lie algebroids with optimal control applications

被引：0
|
作者：
Esmaeil Peyghan
Liviu Popescu
机构：
[1] Arak University,Department of Mathematics, Faculty of Science
[2] University of Craiova,Department of Statistics and Economic Informatics, Faculty of Economics and Business Administration
来源：
Journal of Nonlinear Mathematical Physics | 2020年 / 27卷
关键词：
Berwald and Yano-derivatives; Covariant derivative; Douglas tensor; Lie algebroid; Optimal control;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct ρ£-covariant derivatives in π*π as the generalization of covariant derivative in π*π to £πE. Moreover, we introduce Berwald and Yano derivatives as two important classes of ρ£-covariant derivatives in π*π 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
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页码：550 / 580
页数：30
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