Noether's theorem for higher-order variational problems of Herglotz type

Autor:	Santos, Simao P. S., Martins, Natalia, Torres, Delfim F. M.
Rok vydání:	2015
Předmět:	Mathematics - Optimization and Control 49K15 49S05 49K05 34H05
Zdroj:	Dynamical Systems, Differential Equations and Applications, 2015, 990--999
Druh dokumentu:	Working Paper
DOI:	10.3934/proc.2015.990
Popis:	We approach higher-order variational problems of Herglotz type from an optimal control point of view. Using optimal control theory, we derive a generalized Euler-Lagrange equation, transversality conditions, a DuBois-Reymond necessary optimality condition and Noether's theorem for Herglotz's type higher-order variational problems, valid for piecewise smooth functions. Comment: This is a preprint of a paper to appear in 'Discrete and Continuous Dynamical Systems', Supplement dedicated to the Proceedings of the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Submitted 15-Sept-2014; accepted for publication, subject to a revision as suggested by the referees, 17-Jul-2015; revised 21-Jul-2015. arXiv admin note: text overlap with arXiv:1412.0433
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.05911 Zobrazit plný text záznamu View this record from Arxiv