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Some novel aspects of the positive linear observer problem: differential privacy and optimal l1 sensitivity

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dc.contributor.author McGlinchey, Aisling
dc.contributor.author Mason, Oliver
dc.date.accessioned 2020-12-15T13:02:19Z
dc.date.available 2020-12-15T13:02:19Z
dc.date.issued 2020
dc.identifier.uri http://hdl.handle.net/10344/9528
dc.description peer-reviewed en_US
dc.description.abstract We present several results concerning the l1 sensitivity, a crucial parameter for differential privacy, of a positive linear observer. Specifically, for compartmental systems we derive explicit analytic expressions for positive observers that minimize a bound for the l1 sensitivity. Results are given for single-output systems and classes of multiple-output systems. For single-output general positive systems, we characterize the optimal l1 sensitivity bound of a positive observer with given convergence rate. We also make some initial observations on sensitivity for more general classes of positive observers. en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation European Regional Development Fund en_US
dc.relation.ispartofseries Journal of the Franklin Institute;357, pp. 13923–13940
dc.subject sensitivity en_US
dc.subject several results en_US
dc.title Some novel aspects of the positive linear observer problem: differential privacy and optimal l1 sensitivity en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1016/j.jfranklin.2020.10.004
dc.contributor.sponsor SFI en_US
dc.contributor.sponsor ERC en_US
dc.relation.projectid 13/RC/2094 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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