  We consider a fluid-structure interaction system composed by a
three-dimensional viscous incompressible fluid and an elastic plate located on
the upper part of the fluid boundary. The fluid motion is governed by the
Navier-Stokes system whereas the structure displacement satisfies the damped
plate equation. We consider here the Navier slip boundary conditions. The main
result of this work is the feedback stabilization of the strong solutions of
the corresponding system around a stationary state for any exponential decay
rate by means of a time delayed control localized on the fixed fluid boundary.
The strategy here is based on the Fattorini-Hautus criterion. Then, the main
tool in this work is to show the unique continuation property of the associate
solution to the adjoint system.
