McGlinchey, Aisling and Mason, Oliver (2020) Some novel aspects of the positive linear observer problem: Differential privacy and optimal l1 sensitivity. Journal of the Franklin Institute, 357 (18). pp. 13923-13940. ISSN 0016-0032

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Abstract

We present several results concerning the l1 sensitivity, a crucial parameter for differential privacy, of a positive linear observer. Specifically, for compartmental systems we derive explicit analytic expressions for positive observers that minimize a bound for the l1 sensitivity. Results are given for single-output systems and classes of multiple-output systems. For single-output general positive systems, we characterize the optimal l1 sensitivity bound of a positive observer with given convergence rate. We also make some initial observations on sensitivity for more general classes of positive observers.

Item Type:	Article
Additional Information:	© 2020 The Authors. Published by Elsevier Ltd on behalf of The Franklin Institute. This is an open access article under the CC BY license ( http://creativecommons.org/licenses/by/4.0/ ) Cite as: Aisling McGlinchey, Oliver Mason, Some novel aspects of the positive linear observer problem: Differential privacy and optimal l1 sensitivity, Journal of the Franklin Institute, Volume 357, Issue 18, 2020, Pages 13923-13940, ISSN 0016-0032, https://doi.org/10.1016/j.jfranklin.2020.10.004. (https://www.sciencedirect.com/science/article/pii/S0016003220306955)
Keywords:	novel aspects; positive linear observer problem; Differential privacy; optimal l1 sensitivity;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	15525
Identification Number:	https://doi.org/10.1016/j.jfranklin.2020.10.004
Depositing User:	Oliver Mason
Date Deposited:	16 Feb 2022 17:06
Journal or Publication Title:	Journal of the Franklin Institute
Publisher:	Elsevier
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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