Constants of motion for Isoperimetric Variational Problems with Time Delay
Optimization and Control
2020-09-07 v2
Abstract
In the present work, we obtain the constants of motion for isoperimetric variational problems with time delay. We consider a constrained optimization problem where the Lagrangian function defining the functional depends on time delayed arguments. We prove the isoperimetric Euler--Lagrange and DuBois--Reymond type optimality conditions and, in order to investigate the constants of motion for this problem, we obtain a nonsmooth extension of Noether's symmetry theorem for isoperimetric variational problems with delayed arguments.
Keywords
Cite
@article{arxiv.1603.02335,
title = {Constants of motion for Isoperimetric Variational Problems with Time Delay},
author = {G. S. F. Frederico and M. J. Lazo and M. N. F. Barreto and J. Paiva},
journal= {arXiv preprint arXiv:1603.02335},
year = {2020}
}
Comments
accepted to publication in Applicable Analysis