Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay
Dynamical Systems
2012-07-23 v1 Classical Analysis and ODEs
Optimization and Control
Abstract
We extend the DuBois-Reymond necessary optimality condition and Noether's symmetry theorem to the time delay variational setting. Both Lagrangian and Hamiltonian versions of Noether's theorem are proved, covering problems of the calculus of variations and optimal control with delays.
Cite
@article{arxiv.1203.3656,
title = {Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay},
author = {Gastao S. F. Frederico and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1203.3656},
year = {2012}
}
Comments
This is a preprint of a paper whose final and definite form will appear in the international journal Numerical Algebra, Control and Optimization (NACO). Paper accepted for publication 15-March-2012