Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/16618
Title: Noether's theorem for higher-order variational problems of Herglotz type
Author: Santos, Simão P. S.
Martins, Natália
Torres, Delfim F. M.
Keywords: Herglotz’s problems
Higher-order calculus of variations
Optimal control
Euler– Lagrange equations invariance
DuBois–Reymond condition
Noether’s theorem
Issue Date: Nov-2015
Publisher: American Institute of Mathematical Sciences
Abstract: 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, DuBois–Reymond necessary optimality condition and Noether’s theorem for Herglotz’s type higher-order variational problems, valid for piecewise smooth functions.
Peer review: yes
URI: http://hdl.handle.net/10773/16618
DOI: 10.3934/proc.2015.990
Appears in Collections:CIDMA - Comunicações
SCG - Comunicações

Files in This Item:
File Description SizeFormat 
NOETHER’S THEOREM FOR HIGHER-ORDER VARIATIONAL PROBLEMS OF HERGLOTZ TYPE.pdfMain article328.5 kBAdobe PDFView/Open


FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.