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 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
Invariance
Noether’s theorem
Optimal control
Differential equations
Equations of motion
Lagrange multipliers
Natural sciences
Necessary optimality condition
Piece-wise
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

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