A Scale Variational Principle of Herglotz
Optimization and Control
2016-04-18 v1 Numerical Analysis
Abstract
The Herglotz problem is a generalization of the fundamental problem of the calculus of variations. In this paper, we consider a class of non-differentiable functions, where the dynamics is described by a scale derivative. Necessary conditions are derived to determine the optimal solution for the problem. Some other problems are considered, like transversality conditions, the multi-dimensional case, higher-order derivatives and for several independent variables.
Keywords
Cite
@article{arxiv.1604.04297,
title = {A Scale Variational Principle of Herglotz},
author = {Ricardo Almeida},
journal= {arXiv preprint arXiv:1604.04297},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form is in "Publ. Math. Debrecen"