Study on geometric structures on Lie algebroids with optimal control applications
被引:2
作者:
Peyghan, Esmaeil
论文数: 0引用数: 0
h-index: 0
机构:
Arak Univ, Dept Math, Fac Sci, Arak 3815688349, IranArak Univ, Dept Math, Fac Sci, Arak 3815688349, Iran
Peyghan, Esmaeil
[1
]
Popescu, Liviu
论文数: 0引用数: 0
h-index: 0
机构:
Univ Craiova, Fac Econ & Business Adm, Dept Stat & Econ Informat, 13 Al I Cuza St, Craiova 200585, RomaniaArak Univ, Dept Math, Fac Sci, Arak 3815688349, Iran
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
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.
机构:
Alexandru Ioan Cuza Univ, Math Phys, Corp R, UAIC, Off 323,14 Alexandru Lapusneanu St, Iasi 700054, RomaniaAlexandru Ioan Cuza Univ, Math Phys, Corp R, UAIC, Off 323,14 Alexandru Lapusneanu St, Iasi 700054, Romania
机构:
Alexandru Ioan Cuza Univ, Math Phys, Corp R, UAIC, Off 323,14 Alexandru Lapusneanu St, Iasi 700054, RomaniaAlexandru Ioan Cuza Univ, Math Phys, Corp R, UAIC, Off 323,14 Alexandru Lapusneanu St, Iasi 700054, Romania