广义系统的可正则性研究

正则性对于研究广义系统 ,保证对任意输入和相容初值系统存在唯一的解是十分必要的 ,系统的可控性、可达性及其它性质的研究都必须首先保证系统的正则性的条件得到成立。但是在系统的反馈控制中 ,选择不同的反馈因子 ,则系统的正则性可能会被改变。利用广义系统的系数矩阵 ,给出了其一类不变子空间的结构 ,并由此给出了广义系统的可正则性的一个充分必要条件。

Study on Regularizability of Generalized Systems

The regularity is very important to analyze the generalized systems and ensure to have an unique solution for the arbitrarily output and the initial value system.The studies of controllability,reachability and other characters must ensure the factors of the system's regularity hold first.But during the feedback control,the selection of the defferent feedback factors may make the change of the system's regularity.This paper presents a structure which is a kind of unchanging subspace,and gives out a sufficient and necersary condition for regularizabity of the generalized system by using the coefficient matrices.