  We analyze the robustness of the exponential stability of
infinite-dimensional sampled-data systems with unbounded control operators. The
unbounded perturbations we consider are the so-called Desch-Schappacher
perturbations, which arise, e.g., from the boundary perturbations of systems
described by partial differential equations. As the main result, we show that
the exponential stability of the sampled-data system is preserved under all
Desch-Schappacher perturbations sufficiently small in a certain sense.
