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
收藏
页码：274 / 279
页数：6
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