An optimal control approach to Herglotz variational problems

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 fun...

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Bibliographic Details
Main Author: Santos, S. P. S. (author)
Other Authors: Martins, N. (author), Torres, D. F. M. (author)
Format: bookPart
Language:eng
Published: 1000
Subjects:
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
Online Access:http://hdl.handle.net/10773/14651
Country:Portugal
Oai:oai:ria.ua.pt:10773/14651

Internet

http://hdl.handle.net/10773/14651

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