Noether's symmetry theorem for variational and optimal control problems with ti...

• Author(s): Frederico, G. S. F. ; Torres, D. F. M.
• Date: 2012
• Persistent ID: http://hdl.handle.net/10773/11875
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Constants of motion; DuBois-Reymond necessary optimality condition; Invariance; Noether's theorem; Symmetries; Time delay
• Document Type: Article
• Language: English

Description

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.