Noether currents for higher-order variational problems of Herglotz type with time delay
Abstract
We study, from an optimal control perspective, Noether currents for higher-order problems of Herglotz type with time delay. Main result provides new Noether currents for such generalized variational problems, which are particularly useful in the search of extremals. The proof is based on the idea of rewriting the higher-order delayed generalized variational problem as a first-order optimal control problem without time delays.
Keywords
Cite
@article{arxiv.1704.00088,
title = {Noether currents for 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:1704.00088},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems -- Series S' (DCDS-S), ISSN 1937-1632 (print), ISSN 1937-1179 (online), available at [https://www.aimsciences.org/journals/home.jsp?journalID=15]. Paper Submitted 01-Oct-2016; Revised 01 and 21 March-2017; Accepted 31-March-2017