On the stability radius of a generalized state-space system
On the stability radius of a generalized state-space system
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DOI：
10.1016/0024-3795(93)90466-2
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发表时间：
1993-07
影响因子：
1.1
通讯作者：
R. Byers;N. Nichols
中科院分区：
文献类型：
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作者：
R. Byers;N. Nichols
本文将系统矩阵的“失稳距离”概念推广到广义（半状态）系统中的系统粒子。困难出现在奇异系统的情况下，因为铅笔可以通过一个无穷小扰动不稳定。有必要测量受限制或结构化扰动的距离。本文定义了广义状态空间系统稳定性半径的一个合适的度量，并导出了指数小于等于1的正则束系统到不稳定性的距离的一个可计算的表达式。对于强可控的系统，它表明，这一措施是有关的灵敏度的极点的系统在所有的反馈矩阵分配的极点。
The concept of “distance to instability” of a system matrix is generalized to systempencilswhich arise in descriptor (semistate) systems. Difficulties arise in the case of singular systems, because the pencil can be made unstable by an infinitesimal perturbation. It is necessary to measure the distance subject to restricted, or structured, perturbations. In this paper a suitable measure for the stability radius of a generalized state-space system is defined, and a computable expression for the distance to instability is derived for regular pencils of index less than or equal to one. For systems which are strongly controllable it is shown that this measure is related to the sensitivity of the poles of the system over all feedback matrices assigning the poles.