Controllability function as time of motion. I
Optimization and Control
2015-09-18 v1
Abstract
The admissible positional control problem for the canonical system with geometrical restrictions on the control is considered. The investigation is performed with the help of the controllability function method. We obtain controllability functions which are the time of motion from an arbitrary initial condition to the origin. We also reveal a set of controls which solves this problem.
Cite
@article{arxiv.1509.05127,
title = {Controllability function as time of motion. I},
author = {A. E. Choque-Rivero and V. I. Korobov and V. A. Skoryk},
journal= {arXiv preprint arXiv:1509.05127},
year = {2015}
}
Comments
This is a translation of the paper: A.E. Choque Rivero, V.I. Korobov, V.O. Skoryk: Controllability function as time of motion I, (in Russian) Mat. Fiz. Anal. Geom., 11(2), (2004), 208-225