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http://hdl.handle.net/10773/14651
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 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/14651 |
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 |
Files in This Item:
File | Description | Size | Format | |
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[313]Santos_Martins_Torres.pdf | 196.86 kB | Adobe PDF |
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