可控奇异系统的完全分类

29th IEEE Conference on Decision and Control Pub Date : 1990-12-05 DOI:10.1109/CDC.1990.203497

K. Ozcaldiran

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引用次数: 11

摘要

将奇异系统Ex'(t)=Ax(t)+Bu(t)的可达子空间分解为m个单生成的可达子空间，其中E、A、B分别是维数为n*n、n*n、n*m的实数矩阵。不假设系统(E,A,B)是规则的。利用这种分解，推导出了在比例反馈群和比例加导数反馈群作用下的可控奇异系统的正则形式。

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A complete classification of controllable singular systems

A decomposition of the reachable subspace of the singular system Ex'(t)=Ax(t)+Bu(t) into m singly generated reachability subspaces is presented, where E,A,B are real matrices of dimensions n*n, n*n, n*m, respectively. It is not assumed that the system (E,A,B) is regular. This decomposition is used to derive canonical forms for controllable singular systems under the actions of the proportional and proportional-plus-derivative feedback groups.<>

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29th IEEE Conference on Decision and Control

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