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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: | 10.23919/ECC.2018.8550455 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 05 Oct 2020 13:45 |
| Publisher: | IEEE |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/13387 |
| 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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