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

• Autor(es): Frederico, G. S. F. ; Torres, D. F. M.
• Data: 2012
• Identificador Persistente: http://hdl.handle.net/10773/11875
• Origem: RIA - Repositório Institucional da Universidade de Aveiro
• Assunto(s): Constants of motion; DuBois-Reymond necessary optimality condition; Invariance; Noether's theorem; Symmetries; Time delay
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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.