Nonlinear Feedback Solutions for a Class of Quantum Control Problems

被引：0

作者：

Ito, Kazufumi ^{[1
]}

Kunisch, Karl ^{[2
]}

Zhang, Qin ^{[1
]}

机构：

[1] North Carolina State Univ, Dept Math, Box 8205, Raleigh, NC 27695 USA

[2] Karl Franzens Univ Graz, Math Inst, A-8010 Graz, Austria

来源：

OPTIMAL CONTROL OF COUPLED SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 158卷

关键词：

Nonlinear feedback control; quantum control systems; Schrodinger equation;

D O I：

10.1007/978-3-7643-8923-9_9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Control of quantum systems described by the linear Schrodinger equation are considered. Control inputs enter through coupling operators and result in a bilinear control system. Feedback control laws are developed for orbit tracking. The asymptotic properties of the feedback laws are analyzed by the LaSalle-type invariance principle. Numerical integration via time-splitting is also investigated and used to demonstrate the feasibility of the proposed feedback laws and to compare their performance.

引用

页码：155 / +

页数：3

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