Noether's theorem for higher-order variational problems of Herglotz type

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 high...

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Bibliographic Details
Main Author: Santos, Simão P. S. (author)
Other Authors: Martins, Natália (author), Torres, Delfim F. M. (author)
Format: conferenceObject
Language:eng
Published: 2017
Subjects:
Herglotz’s problems
Higher-order calculus of variations
Optimal control
Euler– Lagrange equations invariance
DuBois–Reymond condition
Noether’s theorem
Online Access:http://hdl.handle.net/10773/16618
Country:Portugal
Oai:oai:ria.ua.pt:10773/16618
Description
Summary: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.

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