On Identifiability of Linear Infinite-Dimensional Systems

Abstract

Identifiability analysis is developed for linear dynamic systems evolving in a Hilbert space. Finite-dimensional sensing and actuation are assumed to be only available. Identifiability conditions for the transfer function of such a system is constructively addressed in terms of sufficiently nonsmooth controlled inputs. The introduced notion of a sufficiently nonsmooth input does not relate to a system and it can therefore be verified independently of any particular underlying system.