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中文摘要：
在假设控制时间相对很大的情况下。利用平均理论对量子系统进行简化得到平均系统。对平均系统利用经典的最优控制理论进行控制场的设计。获得系统在能量达到最优情况下的控制场的解析解。避免了利用迭代求解二值边界条件的常规求解方式。最后通过一个3能级量子系统的实例进行仿真实验。根据实验结果得到相关结论。
英文摘要：
The control time is supposed to be relative large, the averaged system is obtained by using of the averaging theorem in the quantum system. The control field of averaged system is designed by classical optimal control theorem, then analytic expression for the control field is acquired within optimal energy. As a result, the normal iterative solution of a two-point boundary value problem is avoided by the use of averaging optimal control. At last, the method is used to a three-level quantum system. The some analysis are given according to the simulation test results.
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