实结构奇异值的一个新的上界

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) Pub Date : 2001-12-04 DOI:10.1109/CDC.2001.980106

S. K. Gungah, U. Malik, I. Jaimoukha, G. Halikias

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引用次数: 5

摘要

在最大奇异值不重复的假设下，导出了实结构奇异值/spl mu/的一个新的、易于计算的上界。利用实数/spl mu/(严格)小于最大奇异值的条件，将结构不确定性集嵌入到更大的相关集中。然后用它推导出一个严格小于最大奇异值的上界，而不使用缩放矩阵。

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A new upper bound for the real structured singular value

A new, easily computable, upper bound on the real structured singular value /spl mu/ is derived under the assumption of a nonrepeated largest singular value. The condition under which real /spl mu/ is (strictly) less than the largest singular value is used to embed the structured uncertainty set in a larger related set. This is then used to derive an upper bound strictly less than the largest singular value without the use of scaling matrices.

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Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)

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