Study on geometric structures on Lie algebroids with optimal control applications
- 10.1080/14029251.2020.1819604How to use a DOI?
- Berwald and Yano-derivatives; Covariant derivative; Douglas tensor; Lie algebroid; Optimal control
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.
- © 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/).
Cite this article
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 -