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Title: An optimal control approach to Herglotz variational problems
Author: 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.
Peer review: yes
DOI: 10.1007/978-3-319-20352-2_7
ISBN: 978-3-319-20351-5
ISSN: 1865-0929
Appears in Collections:CIDMA - Capítulo de livro
SCG - Capítulo de livro

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