Birth of the shape of a reachable set
Optimization and Control
2015-03-31 v2
Abstract
We address a linear control system under geometric constraints on control and study its reachable sets starting at zero time from the origin. The main result is the existence of a limit shape of the reachable sets as the terminal time tends to zero. Here, a shape of a set stands for the set regarded up to an invertible linear transformation. Both autonomous and non-autonomous cases are considered.
Keywords
Cite
@article{arxiv.1312.4155,
title = {Birth of the shape of a reachable set},
author = {Elena Goncharova and Alexander Ovseevich},
journal= {arXiv preprint arXiv:1312.4155},
year = {2015}
}