中文摘要：

为在有任何起始的状态和目标 eigenstate 的有限维的量系统的州的控制问题，这篇论文经由 Lyapunov 技术并且在向量框架学习控制法律的设计方法，它向目标状态保证任何起始的状态的集中。在目标 eigenstate 的靠近环的系统的稳定性经由不变性原则被分析并且证明。一个 spin-1/2 系统的模拟实验显示出设计控制法律的有效性。

英文摘要：

For the state control problem in finite-dimensional quantum systems with any initial state and a goal eigenstate, this paper studies the design method of control laws via the Lyapunov technology and in the vector frame, which ensures the convergence of any initial state toward the goal state. The stability of the closed-loop system in the goal eigenstate is analyzed and proven via the invariance principle. The simulation experiment on a spin-1/2 system shows the effectiveness of the designed control laws.