Remarks on the geometric structure of port-Hamiltonian systems

被引：0

作者：

Kirchhoff, Jonas ^{[1
]}

Maschke, Bernhard ^{[2
]}

机构：

[1] Tech Univ Ilmenau, Inst Math, D-98693 Ilmenau, Germany

[2] Univ Lyon 1, LAGEPP, F-69622 Villeurbanne, France

来源：

IFAC PAPERSONLINE | 2024年 / 58卷 / 06期

关键词：

Dirac structures; port-Hamiltonian systems; nonlinear systems; geometrical methods;

D O I：

10.1016/j.ifacol.2024.08.293

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 study the geometric structure of port-Hamiltonian systems. Starting with the intuitive understanding that port-Hamiltonian systems are "in between" certain closed Hamiltonian systems, the geometric structure of port-Hamiltonian systems must be "in between" the geometric structures of the latter systems. These are Courant algebroids; and hence the geometric structures should be related by Courant algebroid morphisms. Using this idea, we propose a definition of an intrinsic geometric structure and show that it is unique, if it exists. Copyright (C) 2024 The Authors.

引用

页码：274 / 279

页数：6

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