  A family of Boussinesq systems has been proposed to describe the
bi-directional propagation of small amplitude long waves on the surface of
shallow water. In this paper, we investigate the well-posedness and boundary
stabilization of the generalized higher order Boussinesq systems of Korteweg-de
Vries--type posed on a interval. We design a two-parameter family of feedback
laws for which the system is locally well-posed and the solutions of the
linearized system are exponentially decreasing in time.
