摘要：AbstractWe consider the design of differentially private observers for positive linear systems in discrete time. In particular, we first provide a general bound for thel1sensitivity of the map defined by a Luenberger observer for a linear time invariant (LTI) system and show that this can be tight as well as describing how it relates to previous work. We then define an optimisation problem for minimising this bound for positive linear observers and provide a characterisation of optimal solutions for systems with a single measured output. Finally we show how the addition of Laplacian noise can violate positivity, even for the optimally designed positive observer and discuss directions for future work.
关键词：KeywordsPositive systemslinear time-invariant systemsobservers for linear systemsdifferential privacyoptimization
