부산대학교 도서관

In this paper, we are concerned with the boundary output feedback stabilization problem of a Schrödingerequation with a nonlocal term. Firstly, we design an explicit boundary state feedback controller by backsteppingapproach. Under this controller, the closed-loop system is proved to be exponentially stable from the equivalencebetween the original system and the target system. Then, we propose an observer-based output feedback controllerby replacing the state in state feedback controller with its estimation. The resulting closed-loop system admitsa unique solution which is exponentially stable. Finally, some numerical examples are presented to illustrate theeffectiveness of the proposed feedback controller.