  A nonlinear control system is said to be weakly contractive in the control if
the flow that it generates is non-expanding (in the sense that the distance
between two trajectories is a non-increasing function of time) for some fixed
Riemannian metric independent of the control. We prove in this paper that for
such systems, local asymptotic stabilizability implies global asymptotic
stabilizability by means of a dynamic state feedback. We link this result and
the so-called Jurdjevic and Quinn approach.
