论文标题
重新审视线性哈米尔顿港DAE系统
Linear port-Hamiltonian DAE systems revisited
论文作者
论文摘要
哈米尔顿港系统理论为多物理系统的建模，模拟和控制提供了系统的方法。代数约束的融合导致了哈米尔顿港差分 - 代数方程（DAE）系统的多种定义。本文在Gernandt，Haller＆Reis（2021）和Mehrmann＆van der Schaft（2022）中介绍了结果的扩展，并在最大单调结构的背景下进行了扩展，并表明任何此类空间都可以写成Dirac和电阻结构的组成。此外，提供了适当的坐标表示以及相关传输函数的显式表达式。
Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has led to a multitude of definitions of port-Hamiltonian differential-algebraic equations (DAE) systems. This paper presents extensions of results in Gernandt, Haller & Reis (2021) and Mehrmann & Van der Schaft (2022) in the context of maximally monotone structures and shows that any such space can be written as composition of a Dirac and a resistive structure. Furthermore, appropriate coordinate representations are presented as well as explicit expressions for the associated transfer functions.
