A LINEAR RELATION APPROACH TO PORT-HAMILTONIAN DIFFERENTIAL-ALGEBRAIC EQUATIONS

被引：12

作者：

Gernandt, Hannes ^{[1
]}

Haller, Frederic Enrico ^{[2
]}

Reis, Timo ^{[2
]}

机构：

[1] TU Hamburg, Inst Mech & Meerestech, Eissendorfer Str 42, D-21073 Hamburg, Germany

[2] Univ Hamburg, Bundesstr 55, D-20146 Hamburg, Germany

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2021年 / 42卷 / 02期

关键词：

linear relations; port-Hamiltonian systems; differential-algebraic equations; matrix pencils;

D O I：

10.1137/20M1371166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider linear port-Hamiltonian differential-algebraic equations. Inspired by the geometric approach of van der Schaft and Maschke [System Control Lett., 121 (2018), pp. 31{37] and the linear algebraic approach of Mehl, Mehrmann, and Wojtylak [SIAM J. Matrix Anal. Appl., 39 (2018), pp. 1489{1519], we present another view by using the theory of linear relations. We show that this allows us to elaborate the differences and mutualities of the geometric and linear algebraic views, and we introduce a class of DAEs which comprises these two approaches. We further study the properties of matrix pencils arising from our approach via linear relations.

引用

页码：1011 / 1044

页数：34

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