Quasi-dynamical systems and the stabilization of elastic vibrations with controls whose range is restricted to a finite number of values

Abstract

This paper concerns the stabilization of a certain class of control problems, which require the controls to have only a finite number of values. The problem is approached by quasi-dynamical system theory. A stabilization strategy is given for the vibrating beam cantilevered at one end and with the control force restricted to have a finite number of values.