Higher-order variational problems of Herglotz type with time delay
Optimization and Control
2016-05-24 v2
Abstract
We study, using an optimal control point of view, higher-order variational problems of Herglotz type with time delay. Main results are higher-order Euler-Lagrange and DuBois-Reymond necessary optimality conditions as well as a higher-order Noether type theorem for delayed variational problems of Herglotz type.
Cite
@article{arxiv.1603.04034,
title = {Higher-order variational problems of Herglotz type with time delay},
author = {Simao P. S. Santos and Natalia Martins and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1603.04034},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form will be published in the International Journal 'Pure and Applied Functional Analysis', ISSN 2189-3756 (print), ISSN 2189-3764 (online). Submitted 01-Dec-2015; revised 12-Mar-2016; accepted for publication 13-Mar-2016. Minor corrections, detected during the reading of the proofs, were done in this second version of the preprint