  This paper is devoted to the study of the local rapid exponential
stabilization problem for a controlled Kuramoto-Sivashinsky equation on a
bounded interval. We build a feedback control law to force the solution of the
closed-loop system to decay exponentially to zero with arbitrarily prescribed
decay rates, provided that the initial datum is small enough. Our approach uses
a method we introduced for the rapid stabilization of a Korteweg-de Vries
equation. It relies on the construction of a suitable integral transform and
can be applied to many other equations.
