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

Autor:	Santos, Simao P. S., Martins, Natalia, Torres, Delfim F. M.
Rok vydání:	2017
Předmět:	Mathematics - Optimization and Control Mathematical Physics 49K15 49S05 49K05 34H05
Zdroj:	Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 1, 91--102
Druh dokumentu:	Working Paper
DOI:	10.3934/dcdss.2018006
Popis:	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. Comment: This is a preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems -- Series S' (DCDS-S), ISSN 1937-1632 (print), ISSN 1937-1179 (online), available at [https://www.aimsciences.org/journals/home.jsp?journalID=15]. Paper Submitted 01-Oct-2016; Revised 01 and 21 March-2017; Accepted 31-March-2017
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.00088 Zobrazit plný text záznamu View this record from Arxiv