Pointwise measure, control and stabilization of elastic beams
弹性梁点控制、点测量与指数镇定

The pointwise measure, control and stabilization based on the Riesz basis approach developed recently is studied. The condition for the exponential stability under linear feedback of output of velocity is derived. The system is proved to be exponentially stable if and only if the open loop system is exactly controllable. Under the exponential stability condition, the system is further shown to be Riesz spectral system and the spectrum-determined growth condition is therefore verified.