Noether's symmetry theorem for variational and optimal control problems with time delay

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.

Bibliographic Details
Main Author: Frederico, G. S. F. (author)
Other Authors: Torres, D. F. M. (author)
Format: article
Language:eng
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/10773/11875
Country:Portugal
Oai:oai:ria.ua.pt:10773/11875