  In this paper, we address the global stabilization of chains of integrators
by means of a bounded static feedback law whose p first time derivatives are
bounded. Our construction is based on the technique of nested saturations
introduced by Teel. We show that the control amplitude and the maximum value of
its p first derivatives can be imposed below any prescribed values. Our results
are illustrated by the stabilization of the third order integrator on the
feedback and its first two derivatives.
