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 existence of a continuous stabilizing feedback. We also give a sufficient condition for the global stabilization of discrete-time nonlinear systems affine in controls.
机构:Department of Electrical Engineering, Interdisciplinary Center for Applied Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA