Differential-algebraic systems with dissipative Hamiltonian structure

被引：11

作者：

Mehrmann, Volker ^{[1
]}

van der Schaft, Arjan ^{[2
]}

机构：

[1] TU Berlin, Inst Math, Sekr MA 4-5, Str 17 Juni 136, D-10623 Berlin, Germany

[2] Univ Groningen, Bernoulli Inst Math Comp Sci & AI, Jan C Willems Ctr Syst & Control, Nijenborgh 9, Groningen, Netherlands

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2023年 / 35卷 / 03期

关键词：

Port-Hamiltonian system; Dissipative Hamiltonian system; Differential-algebraic equation; Lagrange structure; Dirac structure; Matrix pencil;

D O I：

10.1007/s00498-023-00349-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Different representations of linear dissipative Hamiltonian and port-Hamiltonian differential-algebraic equations (DAE) systems are presented and compared. Using global geometric and algebraic points of view, translations between different representations are presented. Characterizations are also derived when a general DAE system can be transformed into one of these structured representations. Approaches for computing the structural information and the described transformations are derived that can be directly implemented as numerical methods. The results are demonstrated with a large number of examples.

引用

页码：541 / 584

页数：44

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