M. Bensoubaya et al., STABILIZATION OF DISCRETE-TIME NONLINEAR- SYSTEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(3), 1995, pp. 371-374
We consider discrete-time nonlinear systems, x(k + 1) = f (x(k), u (k)
), f (0, 0) = 0, for which we give a necessary condition for the exist
ence of a continuous stabilizing feedback. We also give a sufficient c
ondition for the global stabilization of discrete-time nonlinear syste
ms affine in controls.