Representation of Hamilton-Jacobi equation in optimal control theory with compact control set
Optimization and Control
2021-08-12 v2
Abstract
In this paper we study the existence of sufficiently regular representations of Hamilton-Jacobi equations in optimal control theory with the compact control set. We introduce a new method to construct representations for a wide class of Hamiltonians, wider than it was achieved before. Our result is proved by means of these conditions on Hamiltonian that are necessary for the existence of a representation. In particular, we solve an open problem of Rampazzo (2005). We apply the obtained results to reduce a variational problem to an optimal control problem.
Keywords
Cite
@article{arxiv.1804.04501,
title = {Representation of Hamilton-Jacobi equation in optimal control theory with compact control set},
author = {Arkadiusz Misztela},
journal= {arXiv preprint arXiv:1804.04501},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1507.01424