  The problem of stabilization of a system of coupled PDEs of the forth-order
by means of boundary control is investigated. The considered setup arises from
the classical Euler-Bernoulli beam model, and constitutes a generalization of
flexible mechanical systems. A linear feedback controller is proposed, and
using an abstract formulation based on operator semigroup theory, we are able
to prove the well-posedness and the stability of the closed-loop system. The
performances of the proposed controller are illustrated by means of numerical
simulations.
