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
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 153卷 / 03期
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
收藏
页码：758 / 768
页数：11
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