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# 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} }

- Published 2011 in SIAM J. Control and Optimization
DOI:10.1137/070704290

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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