REGULARITY AND EXACT CONTROLLABILITY FORTHE TIMOSHENKO BEAMWITH PIEZOELECTRIC ACTUATOR

摘要

In this paper, we study an initial, boundary value problem of the Timoshenko beam with attached piezo-electric actuators. We establish the regularity of the solution of the Timoshenko beam equation. The main results concern the dependence of the space of exactly controllable initial data on the location of the actuator. Our approach is based on the Hilbert uniqueness method combined with some results from the theory of diophantine approximation.