双线性系统下的量子系统最优控制

1.中国科学技术大学自动化系,安徽,合肥,230027

2.中国科学技术大学自动化系,安徽,合肥,230027

基金项目: 安徽省教育厅自然科学基金(2003kj048zd)

Optimal control of quantum system under bilinear systems

借用宏观领域中双线性系统的研究成果,结合量子系统数学模型所具有的双线性系统形式的特点,通过对含有两点边值条件的最优控制器的推导,对量子力学系统进行最优迭代控制器的设计,并通过仿真实验对设计的量子控制系统的状态转移控制进行系统仿真实验,分别对控制参数的不同取值对控制结果的影响进行了详细的分析.

[1]	Bruni C, DiPillom G, Koch G. Bilinear systems: an appealing class of nearly linear systems in theory and application [J]. IEEE Transactions on Automatic Control, 1974, August AC-19: 334-348.
[2]	Mohler R R, Kolodziej W. An overview of bilinear system theory and applications [J]. IEEE Transactions on Systems, Man and Cybernetics, 1980, SMC-10: 683-688.
[3]	Elliott D L. Bilinear Systems[B]. Institute for Systems Research. University of Maryland, 1998.
[4]	D'Alessandro D, Dahleh M. Optimal control of two-level quantum systems [J]. IEEE Transactions on Automatic Control, 2001, AC-46: 866-876.
[5]	Grivopoulos S, Bamieh B. Iterative algorithms for optimal control of quantum systems [C] ∥ Proceedings of the 41st IEEE Conference on Decision and Control Las Vegas, USA, 2002.
[6]	Cong Shuang. Establishment of state space model in quantum system control [J]. Control and Decision (控制与决策), 2004, 19(10): 1105-1108 (in Chinese).
[7]	Cong Shuang, Zheng Yisong, Ji Beichen, et al. Survey of progress in quantum control system [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2003, 20(1): 1-9 (in Chinese).
[8]	Chen Zonghai, Dong Daoyi. Progress of the research on quantum control in experiment [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2004, 21(1): 1-6 (in Chinese).

上一张下一张

计量

作者相关

文章评分