Differential Privacy and the l 1 Sensitivity of Positive Linear Observers * *This work was supported with the financial support of the Science Foundation Ireland grant 13/RC/2094 and co-funded under the European Regional Development Fund through the Southern &amp; Eastern Regional Operational Programme to Lero - the Irish Software Research Centre (www.lero.ie)

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.

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Cited by 2 publications

References 15 publications

Differentially Private Interval Observer Design with Bounded Input Perturbation

Differentially Private Interval Observer Design with Bounded Input Perturbation

Bounding the l<inf>2</inf> sensitivity for positive linear observers

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