On the Noether theorem for optimal control

We obtain a generalization of E. Noether's theorem for the optimal control problems. The generalization involves a one-parameter family of smooth maps which may depend also on the control and a Lagrangian which is invariant up to an addition of an exact differential. © 2002 EUCA.

Detalhes bibliográficos
Autor principal: Torres, D.F.M. (author)
Formato: article
Idioma:eng
Publicado em: 1000
Assuntos:
Texto completo:http://hdl.handle.net/10773/4103
País:Portugal
Oai:oai:ria.ua.pt:10773/4103
Descrição
Resumo:We obtain a generalization of E. Noether's theorem for the optimal control problems. The generalization involves a one-parameter family of smooth maps which may depend also on the control and a Lagrangian which is invariant up to an addition of an exact differential. © 2002 EUCA.