稳定的复数域上状态反馈系统的几何结构  

Geometric Structures of Stable Complex State Feedback Systems

作　　者：弗洛斯[1] 段晓敏[2] 孙华飞[1] 邵水布 

机构地区：[1]北京理工大学数学学院,北京100081 [2]大连交通大学理学院,辽宁大连116028

出　　处：《北京理工大学学报》2014年第10期1081-1084,1100,共5页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金项目资助项目(61179031)

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.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.

关 键 词：复数域 状态反馈 几何结构 

分 类 号：O186[理学—数学]