DETERMINATION OF GENERIC DIMENSIONS OF CONTROLLABLE SUBSPACES AND ITS APPLICATION
DETERMINATION OF GENERIC DIMENSIONS OF CONTROLLABLE SUBSPACES AND ITS APPLICATION
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DOI：
10.1109/tac.1980.1102506
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发表时间：
1980-01-01
影响因子：
6.8
通讯作者：
HOSOE, S
中科院分区：
文献类型：
--
作者：
HOSOE, S
结构线性系统的可控子空间及其维数是自由参数的函数。然而，在这个意义上，它的尺寸是稳定的，几乎任何系统参数，一些最大的常数，这是通用的秩的可控性矩阵。本文把这个极大常数称为可控子空间的通有维数。给出了确定可控子空间通有维数的两种简单方法。作为应用，本文的结果被应用于确定线性多变量单位反馈系统的系统类型。
The controllable subspace and its dimension of a structured linear system vary as a function of the free parameters. However, the dimension is stable in the sense that it takes, for almost any system parameters, some maximal constant which is the generic rank of the controllability matrix. In this paper, this maximal constant is called the generic dimension of the controllable subspace. Two simple methods for determining generic dimensions of controllable subspaces are derived. As an application, the results are applied to the determination of system types of linear multivariable unity feedback systems.