F(z)上系统能控性PBH判据

PBH CRITERION OF CONTROLLABILITY FOR LINEAR SYSTEMS OVER F(z)

将实数域上线性系统能控性PBH判据推广到多元有理函数域F(z).由于实数域是F(z)的子域,且为结构化矩阵,一次多项式矩阵和混合矩阵都可视为一类F(z)上矩阵,所以获得的判据适用的范围更广.给出了几个应用实例.

In this paper, the PBH criterion of controllability for linear systems over the real field is extend to the systems over the rational function field F（z）. Since the real field is a subfield of F（z） and SM （structured matrix）, one-degree polynomial matrix and mixed matrix can be considered to be a class of matrices over F（z）, the criterion obtained in this paper is more universal. Finally some examples are given.