关于 port-Hamiltonian 系统几何结构的注记
Remarks on the geometric structure of port-Hamiltonian systems
AI总结：
本文研究 port-Hamiltonian 系统的几何结构，基于其介于闭 Hamiltonian 系统之间的直观理解，提出通过 Courant algebroid morphism 关联的内蕴几何结构定义，并证明其若存在则唯一。
摘要：
我们研究 port-Hamiltonian 系统的几何结构。从 port-Hamiltonian 系统介于某些闭 Hamiltonian 系统之间的直观理解出发，其几何结构必然介于后者的几何结构之间。这些结构是 Courant algebroids；因此几何结构应通过 Courant algebroid morphism 相关联。基于此思想，我们提出一种内蕴几何结构的定义，并证明其若存在则唯一。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
