Loewner Functions for a Class of Nonlinear Differential-Algebraic Systems

被引：0

作者：

Simard, Joel D. ^{[1
]}

Astolfi, Alessandro ^{[1
,2
]}

机构：

[1] Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England

[2] Univ Roma Tor Vergata, Dipartimento Ingn Civile & Ingn Informat, Via Politecn 1, I-00133 Rome, Italy

来源：

2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC) | 2022年

基金：

英国工程与自然科学研究理事会;

关键词：

MODEL-REDUCTION; EIGENSTRUCTURE;

D O I：

10.1109/CDC51059.2022.9992912

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the Loewner functions associated to four behaviourally equivalent differential-algebraic systems with the goal of simplifying the partial differential equation (PDE) defining the tangential generalized observability function. Although the systems may have different tangential generalized observability functions, it is shown that all four systems yield the exact same family of Loewner equivalent interpolants provided that solutions to the PDEs exist.

引用

页码：6542 / 6547

页数：6

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