An Optimal Control Approach to Herglotz Variational Problems
arXiv:1412.0433 · doi:10.1007/978-3-319-20352-2_7
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 piecewise smooth functions.
This is a preprint of a paper whose final and definite form will be published in Springer Communications in Computer and Information Science (CCIS), ISSN 1865-0929. Paper submitted 3/Aug/2014; revised 26/Nov/2014; accepted for publication 27/Nov/2014
References in corpus (4)
- Caratheodory-Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control
- Higher-order variational problems of Herglotz type
- Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense
- A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory