Abstract
This article considers stabilization of a one-dimensional Schrödinger equation with variable coefficient and boundary observation which suffers from an arbitrary given time delay. We design an observer and predictor to stabilize the system. The state is estimated in the time span where the observation is available, and also predicted in the time interval where the observation is not available. It is shown that the estimated state feedback stabilizes the system exponentially. A numerical simulation is presented to illustrate the effect of the stabilizing controller.
| Original language | English |
|---|---|
| Pages (from-to) | 1531-1537 |
| Number of pages | 7 |
| Journal | Asian Journal of Control |
| Volume | 15 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Sept 2013 |
Keywords
- Exponential stability
- Schrödinger equation
- feedback control
- observer
- time delay
- variable coefficient