On maximal unobservable subspace, zeros and their applications
On maximal unobservable subspace, zeros and their applications
复制标题
最大不可观测子空间、零点及其应用
DOI：
10.1080/00207177708922276
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发表时间：
1977
影响因子：
2.1
通讯作者：
T. Mita
中科院分区：
文献类型：
--
作者：
T. Mita
单输入/输出线性平稳系统的零点具有以下两个属性：（1）零点的位置在状态反馈下不变；（2）如果不可观测子空间是由适当的状态反馈构造的，则它们成为不可观测子空间的极点。这两个性质用于局部扰动或零灵敏度系统的稳定性判据。本文将这些概念扩展到一类多输入/输出系统。研究结果为传递函数McMillan形式的分子多项式赋予了新的含义，并提供了具有局部扰动和零灵敏度的多输入/输出系统的稳定性判据。
The zeros of single input/output linear stationary systems have the following two properties : (1) the positions of the zeros are invariant under a state feedback, and (2) they become the poles of the unobservable subspace if it is constructed by an appropriate state feedback. And these two properties are used for the stability criteria of systems in which the disturbances are localized or which have zero-sensitivity. This paper extends these concepts to a class of multi input/output systems. The results give a new meaning to the numerator polynomials of the McMillan form of the transfer function, and also provide the stability criteria of the multi input/output systems which have localized disturbances and zero-sensitivity.