A Necessary Condition on Chain Reachable Robustness of Dynamical Systems
Optimization and Control
2020-05-05 v1
Abstract
It is ``folklore'' that the solution to a set reachability problem for a dynamical system is only noncomputable because of non-robustness reasons. A robustness condition that can be imposed on a dynamical system is the requirement of the chain reachable set to equal the closure of the reachable set. We claim that this condition necessarily imposes strong conditions on the dynamical system. For instance, if the space is connected and compact and we are computing a chain reachable robust single valued function then cannot have an unstable fixed point or unstable periodic cycle.
Cite
@article{arxiv.2005.01570,
title = {A Necessary Condition on Chain Reachable Robustness of Dynamical Systems},
author = {Maxwell Fitzsimmons and Jun Liu},
journal= {arXiv preprint arXiv:2005.01570},
year = {2020}
}
Comments
15 pages, 0 figures. Extended conference proceedings submitted to IFAC 2020