Switching in time-optimal problem with control in a ball
Optimization and Control
2017-08-21 v3
Abstract
In this paper we analyse local regularity of time-optimal controls and trajectories for an n-dimensional affine control system with a control parameter, taking values in a k-dimensional closed ball. In the case of k equal to n-1, we give sufficient conditions in terms of Lie bracket relations for all optimal controls to be smooth or to have only isolated jump discontinuities.
Cite
@article{arxiv.1610.06755,
title = {Switching in time-optimal problem with control in a ball},
author = {Andrei A. Agrachev and Carolina Biolo},
journal= {arXiv preprint arXiv:1610.06755},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1605.05232