论文标题
具有耗散性哈密顿结构的差异代数系统
Differential-algebraic systems with dissipative Hamiltonian structure
论文作者
论文摘要
呈现并比较了耗散性哈密顿量和哈米尔顿港差分方程（DAE）系统的不同表示。使用全局几何和代数观点，介绍了不同表示之间的翻译。当可以将一般DAE系统转换为这些结构化表示之一时，还会得出表征。得出可以直接作为数值方法实现的计算结构信息和所述转换的方法。结果显示了大量示例。
Different representations of dissipative Hamiltonian and port-Hamiltonian differential-algebraic equations (DAE) systems are presented and compared. Using global geometric and algebraic points of view, translations between the 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.
