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Some novel aspects of the positive linear observer problem: differential privacy and optimal l1 sensitivity

Date
2020
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.
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Description
peer-reviewed
Publisher
Elsevier
Citation
Journal of the Franklin Institute;357, pp. 13923–13940
Collections
Lero - The Science Foundation Ireland Research Centre for Software
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McGlinchey_2020_Novel.pdf
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Keywords
sensitivity, several results
ULRR Identifiers
https://researchrepository.ul.ie/handle/10344/9528
 https://doi.org/10.34961/1122
Funding code
Funding Information
Science Foundation Ireland (SFI), European Research Council (ERC)
Sustainable Development Goals
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Type
Article
Rights
https://creativecommons.org/licenses/by-nc-sa/1.0/
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