On switching properties of time optimal controls for linear ODEs
Optimization and Control
2019-11-19 v1
Abstract
In this paper, we present some properties of time optimal controls for linear ODEs with the ball-type control constraint. More precisely, for an optimal control, we build up an upper bound for the number of its switching points; show that it jumps from one direction to the reverse direction at each switching point; give its dynamic behaviour between two consecutive switching points; and study its switching directions.
Cite
@article{arxiv.1911.07475,
title = {On switching properties of time optimal controls for linear ODEs},
author = {Shulin Qin and Gengsheng Wang and Huaiqiang Yu},
journal= {arXiv preprint arXiv:1911.07475},
year = {2019}
}
Comments
23pages