Computing robustness of system properties with respect to structured real matrix perturbations

Computing robustness of system properties with respect to structured real matrix perturbations
复制标题

计算系统属性相对于结构化实矩阵扰动的鲁棒性

DOI：
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发表时间：
1992
期刊：
[1992] Proceedings of the 31st IEEE Conference on Decision and Control
影响因子：
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通讯作者：
R. Decarlo
R. Decarlo
中科院分区：
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文献类型：
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作者：
M. Wicks;R. Decarlo

文献摘要

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研究了使系统某些性质不成立的最小范数参数变化量的计算问题。他们概述了一种方法，允许在同一框架内处理几个类似的系统属性。允许扰动的特征在于线性空间。系统的性质由矩阵束或矩阵束集合的秩来表征。一个下降算法制定的基础上奇异值技术收敛到一个局部最小值的问题的解决方案。&lt;<ETX>&gt;
The authors investigate the problem of computing the minimum norm parameter variation that makes some system property fail to hold. They outline an approach which allows several similar system properties to be treated within the same framework. The allowable perturbations are characterized by linear spaces. The system property is characterized by the rank of a matrix pencil, or a collection of matrix pencils. A descent algorithm is formulated based on singular value techniques which converges to a local minimum for a solution of the problem.<<ETX>>