An Optimal Control Approach to Herglotz Variational Problems
Optimization and Control
2015-06-22 v1
Abstract
We address the generalized variational problem of Herglotz from an optimal control point of view. Using the theory of optimal control, we derive a generalized Euler-Lagrange equation, a transversality condition, a DuBois-Reymond necessary optimality condition and Noether's theorem for Herglotz's fundamental problem, valid for piecewise smooth functions.
Cite
@article{arxiv.1412.0433,
title = {An Optimal Control Approach to Herglotz Variational Problems},
author = {Simao P. S. Santos and Natalia Martins and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1412.0433},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Springer Communications in Computer and Information Science (CCIS), ISSN 1865-0929. Paper submitted 3/Aug/2014; revised 26/Nov/2014; accepted for publication 27/Nov/2014