Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15635
Title: | The Herglotz variational problem on spheres and its optimal control approach |
Author: | Abrunheiro, Lígia Machado, Luís Martins, Natália |
Keywords: | Variational problems of Herglotz type Calculus of variations Optimal control problems Geodesics on Riemannian manifolds Euclidean sphere |
Issue Date: | 4-Jan-2016 |
Publisher: | Ilirias Publications |
Abstract: | The main goal of this paper is to extend the generalized variational problem of Herglotz type to the more general context of the Euclidean sphere S^n. Motivated by classical results on Euclidean spaces, we derive the generalized Euler-Lagrange equation for the corresponding variational problem defined on the Riemannian manifold S^n. Moreover, the problem is formulated from an optimal control point of view and it is proved that the Euler-Lagrange equation can be obtained from the Hamiltonian equations. It is also highlighted the geodesic problem on spheres as a particular case of the generalized Herglotz problem. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15635 |
ISSN: | 2217-3412 |
Publisher Version: | http://91.187.98.171/ilirias/jma/vol_7_issue_1.html |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2016AbruMachMart_Revista_JMA.pdf | paper | 338.92 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.