中文摘要：

从信息几何的角度使用新的方法研究稳定的复数域上的状态反馈增益系统.首先,给出所有稳定的状态反馈增益集合的参数化.进而,可知稳定的状态反馈增益集合微分同胚于满足一定代数条件的正定Hermite矩阵和反Hermite矩阵的笛卡尔积;其次,探讨稳定矩阵中稳定的状态反馈增益系统的几何结构;然后,给出状态反馈增益的一个浸入;最后,举例说明结果.

英文摘要：

In this paper,the geometric structures of the stable complex state feedback gains systems was investigated.Firstly,aparametrization of stabilizing complex state feedback gains were given subjected to certain constraint,that is,the subset of stabilizing complex state feedback gains is diffeomorphic to the Cartesian product of the set of positive definite Hermitian matrices and the set of skew Hermitian matrices satisfying certain algebraic conditions.Then,some eigenvalue properties of the stable state feedback systems were given.At last,a static state feedback system was used to illustrate our conclusions.