Approximate Stabilization of One-dimensional Schrodinger Equations in Inhomogeneous Media

被引:1
|
作者
Zu, Jian [1 ]
机构
[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China
关键词
Lyapunov stabilization; LaSalle invariance principle; Bilinear x-dependent; Schrodinger equation; Inhomogeneous media; PERIODIC-SOLUTIONS; LYAPUNOV CONTROL; WAVE-EQUATION; CONTROLLABILITY;
D O I
10.1007/s10957-011-9949-5
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We present how to control the bilinear 1D infinite-dimensional Schrodinger equations in inhomogeneous media (with -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.
引用
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页码:758 / 768
页数:11
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