Noether currents for higher-order variational problems of Herglotz type with time delay

We study, from an optimal control perspective, Noether currents for higher-order problems of Herglotz type with time delay. Main result provides new Noether currents for such generalized variational problems, which are particularly useful in the search of extremals. The proof is based on the idea of...

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Detalhes bibliográficos
Autor principal: Santos, S. P. S. (author)
Outros Autores: Martins, N. (author), Torres, D. F. M. (author)
Formato: article
Idioma:eng
Publicado em: 1000
Assuntos:
Texto completo:http://hdl.handle.net/10773/18734
País:Portugal
Oai:oai:ria.ua.pt:10773/18734
Descrição
Resumo:We study, from an optimal control perspective, Noether currents for higher-order problems of Herglotz type with time delay. Main result provides new Noether currents for such generalized variational problems, which are particularly useful in the search of extremals. The proof is based on the idea of rewriting the higher-order delayed generalized variational problem as a first-order optimal control problem without time delays. © 2018, American Institute of Mathematical Sciences. All rights reserved.