Riesz basis approach to the stabilization of a hybrid system by boundary feedback control. (Chinese. English summary) Zbl 0964.93044
A vibration study in a space-shuttle control laboratory experiment model is considered. One designs a derivative feedback control. It is proved that the closed loop system is a Riesz system, the asymptotic distribution of eigenvalues and the exponential stability of the system are obtained as a consequence.
Reviewer: Wenming Bian (Glasgow)
MSC:
93C20 | Control/observation systems governed by partial differential equations |
93D15 | Stabilization of systems by feedback |
74H45 | Vibrations in dynamical problems in solid mechanics |