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Bounding the l_2 sensitivity for positive linear observers

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Document pages: 6 pages

Abstract: We consider the design of differentially private Luenberger observers forpositive linear systems. In particular, we derive a bound for the $l 2$sensitivity of Luenberger observers, which is used to quantify the noiserequired to achieve relaxed differential privacy via the Gaussian mechanism. Anapproach to minimise this bound for positive observers is described and severalbounds relevant to this problem are derived.

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