Higher order necessary conditions for optimal controls not ranging in the interior
Optimization and Control
2025-05-05 v1
Abstract
Goh's and Legendre-Clebsch necessary conditions for optimal controls of affine-control systems are usually established under the hypothesis that the minimizing control lies in the interior of the control set . In this paper we investigate the possibility of establishing Goh's and Legendre-Clebsch necessary conditions without this assumption, so that even control sets with empty interiors or optimal controls touching the boundary of can be taken into consideration.
Keywords
Cite
@article{arxiv.2505.00790,
title = {Higher order necessary conditions for optimal controls not ranging in the interior},
author = {Francesca Angrisani and Franco Rampazzo},
journal= {arXiv preprint arXiv:2505.00790},
year = {2025}
}