A Study on Unit Interpolation with Rational Analytic Bounded Functions

A Study on Unit Interpolation with Rational Analytic Bounded Functions
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有理解析有界函数单位插值研究

DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
Kouichi Yamamoto
Kouichi Yamamoto
中科院分区：
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文献类型：
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作者：
Y. Ohta;H. Maeda;S. Kodama;Kouichi Yamamoto

文献摘要

被引文献

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本文考虑有理解析有界函数的单位插值问题。利用Nevanlinna-Pick矩阵和非欧几里得距离，导出了插值单位的次数和范数的下界。这些结果解释了为什么在强镇定问题中稳定控制器往往具有较大的阶数/范数。
This paper considers the problem of unit interpolation with rational analytic bounded functions. Lower bounds of the degree and norm of the units which interpolate given data are derived, using the Nevanlinna-Pick matrix and the non-Euclidian distance. These results explain why stable controllers tend to have large degree/norm in the strong stabilization problem.