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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: | 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 |
| Related URLs: | |
| 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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