# Stabilization of higher order linear and nonlinear Schr\"odinger equations on a finite domain: Part I

@article{Batal2019StabilizationOH, title={Stabilization of higher order linear and nonlinear Schr\"odinger equations on a finite domain: Part I}, author={Ahmet Batal and Turker Ozsari and Kemal Cem Yılmaz}, journal={arXiv: Optimization and Control}, year={2019} }

We study the backstepping stabilization of higher order linear and nonlinear Schr\"odinger equations on a finite domain. We consider the case where the boundary feedback controller acts from the left Dirichlet boundary condition. We construct the classical backstepping controller which is capable of stabilizing the original plant with a prescribed rate of decay. Second, we consider the case where the full state of the system cannot be measured at all times but some partial information such as… Expand

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