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

Two classes of block oriented models of the Wiener-Hammerstein type are considered. We prove that a generic condition is sufficient for a null controllable discrete-time system of this form to have a stabilizing minimum-time dead-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.