Repositório Institucional da Universidade de Aveiro > CIDMA - Centro de Investigação e Desenvolvimento em Matemática e Aplicações > CIDMA - Capítulo de livro >
 An optimal control approach to Herglotz variational problems
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/14651

title: An optimal control approach to Herglotz variational problems
authors: Santos, S. P. S.
Martins, N.
Torres, D. F. M.
keywords: Dubois-Reymond condition
Euler-Lagrange equations
Herglotz’s variational problems
Noether’s theorem
Optimal control
Differential equations
Equations of motion
Lagrange multipliers
Natural sciences
Necessary optimality condition
Smooth functions
Transversality conditions
Variational problems
Variational techniques
issue date: 2015
publisher: Springer
abstract: We address the generalized variational problem of Herglotz from an optimal control point of view. Using the theory of optimal control, we derive a generalized Euler-Lagrange equation, a transversality condition, a DuBois-Reymond necessary optimality condition and Noether’s theorem for Herglotz’s fundamental problem, valid for piece- wise smooth functions.
URI: http://hdl.handle.net/10773/14651
ISBN: 978-3-319-20351-5
ISSN: 1865-0929
publisher version/DOI: http://dx.doi.org/10.1007/978-3-319-20352-2_7
source: Optimization in the Natural Sciences
appears in collectionsCIDMA - Capítulo de livro

files in this item

file description sizeformat
[313]Santos_Martins_Torres.pdf196.86 kBAdobe PDFview/open
Restrict Access. You can Request a copy!

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


Valid XHTML 1.0! RCAAP OpenAIRE DeGóis
ria-repositorio@ua.pt - Copyright ©   Universidade de Aveiro - RIA Statistics - Powered by MIT's DSpace software, Version 1.6.2