Global stabilization control of stochastic quantum systems

被引：1

作者：

Shuang CONG ^{[1
]}

Jie WEN ^{[1
]}

Sen KUANG ^{[1
]}

Fangfang MENG ^{[2
]}

机构：

[1] School of Information and Science Technology, University of Science and Technology of China

[2] Department of Electronic Information and Electrical Engineering, Hefei University

来源：

Science China(Information Sciences) | 2016年 / 59卷 / 11期

基金：

中国国家自然科学基金;

关键词：

eigenstate; stochastic quantum systems; global stabilization; switching control; Lyapunov stability theorem;

D O I：

暂无

中图分类号：

O413 [量子论]; TP13 [自动控制理论];

学科分类号：

070201 ; 0711 ; 071102 ; 0811 ; 081101 ; 081103 ;

摘要：

The global stabilization control of arbitrary eigenstates for finite dimensional stochastic quantum systems with non-diagonal free Hamiltonian and non-regular measurement operator is studied in this paper.We propose a switching feedback control law, in which a constant control is used to steer the system state to a convergence domain, and another control law designed based on Lyapunov stability theorem, is used to attract the states in the convergence domain to the desired target state. The convergence to an arbitrary target eigenstate from any initial state is strictly proved. Moreover, numerical simulation experiments on a three-dimensional stochastic quantum system are implemented to demonstrate the effectiveness of the proposed control.

引用

页码：208 / 219

页数：12

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