Robustness of continuous non-smooth finite-time Lyapunov control for two-level quantum systems

被引：3
|
作者：
Kuang, Sen [1 ,2 ]
Guan, Xiaoke [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230027, Peoples R China
[2] Univ Sci & Technol China, CAS Key Lab Technol Geospatial Informat Proc & Ap, Hefei 230027, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 16期
基金：
中国国家自然科学基金;
关键词：
continuous systems; stability; Lyapunov methods; perturbation techniques; real-variable system; perturbed system; continuous nonsmooth finite-time Lyapunov control; two-level quantum systems; Lyapunov finite-time stability theorems; homogeneity theory; H-INFINITY CONTROL; SLIDING MODE CONTROL; STABILITY;
D O I：
10.1049/iet-cta.2019.1156
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The robustness of continuous non-smooth Lyapunov control for two-level quantum systems with uncertainties in the Hamiltonians is analysed in this study. The authors first transform a perturbed two-level system into a real-variable system by expressing the quantum state in terms of its complex exponential and then present two theorems to describe the behaviour of solutions of the perturbed system after a certain finite time by combining the Lyapunov and converse Lyapunov finite-time stability theorems with the homogeneity theory. Numerical simulation experiments on a spin-1/2 particle system show the effectiveness of the results obtained in this study.
引用
收藏
页码：2449 / 2454
页数：6
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