论文标题
Rosenbrock港口插值的Rosenbrock框架
A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems
论文作者
论文摘要
我们提出了一个新的结构性模型降低模型降低（MOR）框架，用于大规模港口 - 哈米尔顿描述符系统（ph-daes）。我们的方法利用了该系统类的Rosenbrock System矩阵的结构属性，并利用经常在应用中出现的凝结形式并揭示了系统的解决方案行为。只要原始系统具有这样的形式，我们的方法将产生最小尺寸的减少阶模型（ROM），该模型（ROMS）切向插值原始模型的传输函数，并保证再次以PH-DAE形式插入。这允许在建模大型系统网络时，将ROM与其他动态系统安全地结合起来，例如在电路模拟中有用。
We present a new structure-preserving model order reduction (MOR) framework for large-scale port-Hamiltonian descriptor systems (pH-DAEs). Our method exploits the structural properties of the Rosenbrock system matrix for this system class and utilizes condensed forms which often arise in applications and reveal the solution behaviour of a system. Provided that the original system has such a form, our method produces reduced-order models (ROMs) of minimal dimension, which tangentially interpolate the original model's transfer function and are guaranteed to be again in pH-DAE form. This allows the ROM to be safely coupled with other dynamical systems when modelling large system networks, which is useful, for instance, in electric circuit simulation.
