Bounding the l_2 sensitivity for positive linear observers
Systems and Control
2020-08-26 v1 Systems and Control
Abstract
We consider the design of differentially private Luenberger observers for positive linear systems. In particular, we derive a bound for the sensitivity of Luenberger observers, which is used to quantify the noise required to achieve relaxed differential privacy via the Gaussian mechanism. An approach to minimise this bound for positive observers is described and several bounds relevant to this problem are derived.
Cite
@article{arxiv.2008.10944,
title = {Bounding the l_2 sensitivity for positive linear observers},
author = {Aisling McGlinchey and Oliver Mason},
journal= {arXiv preprint arXiv:2008.10944},
year = {2020}
}
Comments
Presented at European Control Conference 2018, Limassol, Cyprus