From local to global asymptotic stabilizability for weakly contractive control systems

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