Approximate Stabilization of One-dimensional Schrödinger Equations in Inhomogeneous Media

Jian Zu ()
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Jian Zu: Jilin University

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 3, No 12, 758-768

Abstract: 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.

Keywords: Lyapunov stabilization; LaSalle invariance principle; Bilinear x-dependent; Schrödinger equation; Inhomogeneous media (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-011-9949-5

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