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. Under the ideal condition that the controlled system satisfies the non-degenerate, non-degenerate transitions and perfect connectivity, the stabilization of mixed quantum systems is studied by means of Lyapunov function with additional degrees of freedom. The maximum closed-loop system is derived based on the LaSalle principle Invariant set and the convergence state set in any initial state, the construction principle of the degree of freedom for the system to asymptotically stabilize any equilibrium state in the maximum invariant concentration is given. Finally, by numerical simulation of a two-level system, The correctness of the theoretical results obtained.