On l/sub p/-stabilization of strictly unstable discrete-time linear systems with saturating actuators

For a continuous-time linear system with saturating actuators, it is known that, irrespective of the locations of the open-loop poles, both global and semi-global finite gain L/sub p/-stabilization are achievable, by nonlinear and linear feedback respectively, and the L/sub p/ gain can also be made arbitrarily small. We show that, these results do not hold for discrete-time systems.