Spectral radius interpolation and robust control

Proceedings of the 28th IEEE Conference on Decision and Control, Pub Date : 1989-12-13 DOI:10.1109/CDC.1989.70256

H. Bercovici, C. Foias, Allen Tannenbaum

引用次数: 5

Abstract

In a previous paper (1987) Tannenbaum discussed an interpolation problem closely related to the multivariate gain margins of J.C. Doyle (1984) and M.G. Safonov (1980). For this interpolation problem, it is necessary to interpolate on the disk with analytic matrices of bounded spectral radius instead of norm (as in classical H/sup infinity / theory). The mathematical solution to this problem is presented.<>

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谱半径插值和鲁棒控制

在之前的一篇论文(1987)中，Tannenbaum讨论了与J.C. Doyle(1984)和M.G. Safonov(1980)的多元增益边际密切相关的插值问题。对于这个插值问题，需要用有界谱半径的解析矩阵来代替范数(如经典的H/sup∞/理论)在圆盘上进行插值。给出了这个问题的数学解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of the 28th IEEE Conference on Decision and Control,

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