Optimality of broken extremals
Optimization and Control
2017-09-25 v1
Abstract
In this paper we analyse the optimality of broken Pontryagin extremal for an n-dimensional affine control system with a control parameter, taking values in a k- dimensional closed ball. We prove the optimality of broken normal extremals when n = 3 and the controllable vector fields form a contact distribution, and when the Lie algebra of the controllable fields is locally orthogonal to the singular locus and the drift does not belong to it. Moreover, if k = 2, we show the optimality of any broken extremal even abnormal when the controllable fields do not form a contact distribution in the point of singularity.
Keywords
Cite
@article{arxiv.1709.07775,
title = {Optimality of broken extremals},
author = {Andrei A. Agrachev and Carolina Biolo},
journal= {arXiv preprint arXiv:1709.07775},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1610.06755