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研究了线性状态空间系统闭环特征值配置到指定圆域内的问题．通过分式线性变换将指定圆域特征值配置问题转化为普通的闭环稳定控制器设计问题．给出了状态空间中线性系统进行分式线性变换的公式，研究了变换后线性系统的可镇定性、可检测性与原系统的关系等．在此基础上，给出了对变换后系统设计的状态反馈或输出反馈最优控制与原系统的关系．
The problem of configuring the closed-loop eigenvalue of the linear state-space system into the specified circle is studied. The problem of the configuration of eigenvalue in a given circular domain is transformed into the design of a general closed-loop stabilization controller by fractional linear transformation. The formula of fractional linear transformation of linear system in state space is given, and the stability of the linear system after transformation and the relationship between detectability and original system are studied. On this basis, the relationship between the state feedback and the output feedback optimal control of the transformed system design and the original system is given.