被动系统的参数化内插法

IF 1.5 2区数学 Q2 MATHEMATICS, APPLIED

SIAM Journal on Matrix Analysis and Applications Pub Date : 2024-05-20 DOI:10.1137/23m1580528

Peter Benner, Pawan Goyal, Paul Van Dooren

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引用次数: 0

摘要

SIAM 矩阵分析与应用期刊》，第 45 卷，第 2 期，第 1035-1053 页，2024 年 6 月。摘要我们研究了标准状态空间形式下被动传递函数的切向插值问题。我们在计算与参数化准赫米蒂传递函数谱零点选择相关的放缩子空间的基础上，推导出新的插值条件。我们的研究表明，这种技术提高了低阶模型的鲁棒性，而且只要非被动系统在开放的右半平面上有足够多的谱零点，这种技术也可以应用于非被动系统。我们分析了计算放缩子空间所需的精确度，以便仍能获得被动低阶模型，并推导出一种新颖的谱零点选择程序，以获得近似误差较小的低阶模型。

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Parameterized Interpolation of Passive Systems

SIAM Journal on Matrix Analysis and Applications, Volume 45, Issue 2, Page 1035-1053, June 2024.
Abstract. We study the tangential interpolation problem for a passive transfer function in standard state-space form. We derive new interpolation conditions based on the computation of a deflating subspace associated with a selection of spectral zeros of a parameterized para-Hermitian transfer function. We show that this technique improves the robustness of the low order model and that it can also be applied to nonpassive systems, provided they have sufficiently many spectral zeros in the open right half-plane. We analyze the accuracy needed for the computation of the deflating subspace, in order to still have a passive lower order model and we derive a novel selection procedure of spectral zeros in order to obtain low order models with a small approximation error.

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来源期刊

SIAM Journal on Matrix Analysis and Applications 数学-应用数学

CiteScore

2.90

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The SIAM Journal on Matrix Analysis and Applications contains research articles in matrix analysis and its applications and papers of interest to the numerical linear algebra community. Applications include such areas as signal processing, systems and control theory, statistics, Markov chains, and mathematical biology. Also contains papers that are of a theoretical nature but have a possible impact on applications.