Stabilizability and dead-beat controllers for two classes of Wiener-Hammerstein models

Two classes of block oriented models of the Wiener-Hammerstein type are con sidered, We prove that a generic condition is suffcient for a null controll able discrete-time system of this form to have a stabilizing minimum-time d ead-beat controller. When the condition is violated, we show how to design a nonminimum time stabilizing (dynamic) dead-beat controller, The result is used to obtain stabilizability conditions for these systems.