| 理想条件下混合态量子系统的Lyapunov稳定化策略 |
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| 引用本文： | 匡森,丛爽.理想条件下混合态量子系统的Lyapunov稳定化策略[J].控制与决策,2010(2). |
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| 作者姓名： | 匡森 丛爽 |
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| 作者单位： | 中国科学技术大学自动化系,合肥230027; |
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| 基金项目： | 国家自然科学基金项目(60904033,60774098);;国家973计划项目(2006CB922004);;中国博士后科学基金项目(20080430772) |
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| 摘 要： | 在假定被控系统满足非退化、没有退化跃迁和完全连通的理想条件下,借助于带有附加自由度的Lyapunov函数研究了混合态量子系统的稳定化问题.基于LaSalle原理推导了闭环系统的最大不变集和任一初始态下的收敛状态集,给出了系统对最大不变集中任一平衡态渐近稳定化的自由度的构造原则.最后通过一个两能级系统的数值仿真,验证了所得理论结果的正确性.
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| 关 键 词： | 混合态量子系统 自由度构造 Lyapunov函数 稳定化 |
Lyapunov stabilization strategy of mixed-state quantum systems with ideal conditions |
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| KUANG Sen,CONG Shuang.Lyapunov stabilization strategy of mixed-state quantum systems with ideal conditions[J].Control and Decision,2010(2). |
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| Authors: | KUANG Sen CONG Shuang |
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| Affiliation: | Department of Automation/a>;University of Science and Technology of China/a>;Hefei 230027/a>;China. |
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| Abstract: | Under the ideal conditions that the controlled systems are non-degenerate,transitionally non-degenerate,and fully connected,the stabilization problem of mixed-state quantum systems is studied by using a Lyapunov function with free degrees. Based on the LaSalle's principle,the largest invariant set of the closed-loop systems and the convergent state set associated with any initial state are deduced,and the construction principles of free degrees that ensure the system can be asymptotically stabilized in any ... |
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| Keywords: | Mixed-state quantum systems Construction of free degrees Lyapunov function Stabilization |
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