Volume 27, Issue 4, September 2020, Pages 550 - 580
Study on geometric structures on Lie algebroids with optimal control applications
Authors
Esmaeil Peyghan
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran,e-peyghan@araku.ac.ir,epeyghan@gmail.com
Liviu Popescu*
Department of Statistics and Economic Informatics, Faculty of Economics and Business Administration, University of Craiova, 13 Al. I. Cuza st., 200585 Craiova, Romania,liviupopescu@central.ucv.ro,liviunew@yahoo.com
*Corresponding author.
Corresponding Author
Liviu Popescu
Received 30 July 2019, Accepted 5 December 2019, Available Online 4 September 2020.
- DOI
- 10.1080/14029251.2020.1819604How to use a DOI?
- Keywords
- Berwald and Yano-derivatives; Covariant derivative; Douglas tensor; Lie algebroid; Optimal control
- Abstract
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.
- Copyright
- © 2020 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Esmaeil Peyghan AU - Liviu Popescu PY - 2020 DA - 2020/09/04 TI - Study on geometric structures on Lie algebroids with optimal control applications JO - Journal of Nonlinear Mathematical Physics SP - 550 EP - 580 VL - 27 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1819604 DO - 10.1080/14029251.2020.1819604 ID - Peyghan2020 ER -