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.
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.