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Title: Noether currents for higher-order variational problems of Herglotz type with time delay
Author: Santos, S. P. S.
Martins, N.
Torres, D. F. M.
Keywords: Currents
Euler–Lagrange equations
Herglotz’s variational problems
Higher-order problems
Noether’s theorems
Optimal control
Retarded systems
Issue Date: 2018
Publisher: American Institute of Mathematical Sciences
Abstract: 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.
Peer review: yes
DOI: 10.3934/dcdss.2018006
ISSN: 1937-1632
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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