Bounding the l2 sensitivity for positive linear observers
Aisling McGlinchey, Oliver Mason · 2018
We consider the design of differentially private Luenberger observers for positive linear systems. In particular, we derive a bound for the l2sensitivity 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.