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.

中文翻译：

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具有耗散哈密顿结构的微分代数系统

介绍并比较了线性耗散哈密顿量和端口哈密顿微分代数方程 (DAE) 系统的不同表示形式。使用全局几何和代数观点，呈现不同表示之间的转换。当可以将通用 DAE 系统转换为这些结构化表示之一时，也可以导出特征。计算结构信息的方法和所描述的转换可以直接作为数值方法实现。大量实例证明了结果。