McGlinchey, Aisling and Mason, Oliver (2018) Bounding the l2 sensitivity for positive linear observers. In: 2018 European Control Conference (ECC). IEEE, pp. 1214-1219. ISBN 9783952426982

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Abstract

We consider the design of differentially private Luenberger observers for positive linear systems. In particular, we derive a bound for the l2 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.

Item Type:	Book Section
Keywords:	Observers; Sensitivity; Linear systems; Privacy; Software; Upper bound;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	13387
Identification Number:	https://doi.org/10.23919/ECC.2018.8550455
Depositing User:	Oliver Mason
Date Deposited:	05 Oct 2020 13:45
Publisher:	IEEE
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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