Probabilistic stabilizability certificates for a class of black-box linear systems
Filippo Fabiani,
Kostas Margellos,
Paul J. Goulart
Abstract:We provide out-of-sample certificates on the controlled invariance property of a given set with respect to a class of black-box linear systems. Specifically, we consider linear time-invariant models whose state space matrices are known only to belong to a certain family due to a possibly inexact quantification of some parameters. By exploiting a set of realizations of those undetermined parameters, verifying the controlled invariance property of the given set amounts to a linear program, whose feasibility allo… Show more
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