Abstract
We present how to control the bilinear 1D infinite-dimensional Schrödinger equations in inhomogeneous media (with x-dependent coefficients), getting the approximate stabilization around ground state. Our arguments are based on constructing a Lyapunov function and a strategy similar to LaSalle invariance principle.
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Communicated by Viorel Barbu.
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Zu, J. Approximate Stabilization of One-dimensional Schrödinger Equations in Inhomogeneous Media. J Optim Theory Appl 153, 758–768 (2012). https://doi.org/10.1007/s10957-011-9949-5
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DOI: https://doi.org/10.1007/s10957-011-9949-5