奇异系统的取消输出不变子空间和取消输出能控子空间

Output-nulling Invariant and Controllability Subspaces for Singular Systems

本文针对具有直接控制馈入的奇异系统，研究了与之输出零化有关的不变子空间及能子空间，引入了奇异系统的取消输出不变子空间及取消输出能控子空间的概念，并且讨论了这两种子空间的性质及其相互关系，得到了Ｗｏｎｈａｍ有关正常系统的（Ａ，Ｂ）不变子空间和（Ａ，Ｂ）能控子空间的平行结果。本文的结果为解决带有直接控制馈入的奇异系统的反馈综合问题提供了理论基础。

Invariant and controllability subspaces are studied in connection with the problem of zeroing the output of a finite-dimensional linear singular system with direct control feedthrough. The concept of output-nulling invariant and controllability subspaces in introduced, and the existence of maximal subspaces with these properties is established. The connection of these maximal subspaces is studied.