Hight-order Noether's Theorem for Nonsmooth Extremals of Isoperimetric Variational Problems with Time Delay

Autor:	Frederico, G. S. F., Lazo, M. J.
Rok vydání:	2016
Předmět:	Mathematics - Optimization and Control Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We obtain a nonsmooth higher-order extension of Noether's symmetry theorem for variational isoperimetric problems with delayed arguments. The result is proved to be valid in the class of Lipschitz functions, as long as the delayed higher-order Euler--Lagrange extremals are restricted to those that satisfy the delayed higher-order DuBois--Reymond necessary optimality condition. The important case of delayed isoperimetric optimal control problems is considered as well. Comment: This is a preprint of a paper submitted in Applied Mathematics Letters. arXiv admin note: substantial text overlap with arXiv:1212.4932, arXiv:1603.02335
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.06029 Zobrazit plný text záznamu View this record from Arxiv