Variational and optimal control approaches for the second-order Herglotz problem on spheres

The present paper extends the classical second–order variational problem of Herglotz type to the more general context of the Euclidean sphere Sn following variational and optimal control approaches. The relation between the Hamiltonian equations and the generalized Euler-Lagrange equations is establ...

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Bibliographic Details
Main Author: Machado, Luís (author)
Other Authors: Abrunheiro, Lígia (author), Martins, Natália (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10773/24659
Country:Portugal
Oai:oai:ria.ua.pt:10773/24659