DYNAMICAL BOUNDARY CONTROL FOR ELASTIC PLATES OF GENERAL SHAPE

The control of transverse vibrations of elastic plates of general shap e by feedback boundary control is formulated as an abstract evolution equation. Because the control acts locally on the boundary, which poss esses a flanged rim with inertial properties of mass and bending momen t, the analysis concerns dynamical controllability and stabilizability of a hybrid system. By the approach of energy decay inequalities and Hormander's global uniqueness theorem, it is shown that the system is strongly stabilizable by a locally supported damping feedback of bound ary velocity and boundary angular velocity, and hence the system is ap proximately controllable.