Boundary Controllers and Observers for the Linearized Schrödinger Equation

@article{Krstic2011BoundaryCA,
  title={Boundary Controllers and Observers for the Linearized Schr{\"o}dinger Equation},
  author={Miroslav Krstic and Bao-Zhu Guo and Andrey Smyshlyaev},
  journal={SIAM J. Control and Optimization},
  year={2011},
  volume={49},
  pages={1479-1497}
}
We consider a problem of stabilization of the linearized Schrödinger equation using boundary actuation and measurements. We propose two different control designs. First, a simple proportional collocated boundary controller is shown to exponentially stabilize the system. However, the decay rate of the closed-loop system cannot be prescribed. The second, full-state feedback boundary control design, achieves an arbitrary decay rate. We formally view the Schrödinger equation as a heat equation in… CONTINUE READING
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