论文标题
关于线性非参数和参数系统的降低级建模的误差估计
On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems
论文作者
论文摘要
由最近提出的误差估计器的动机，用于给定线性动力学系统的降顺序模型的传递函数，我们在这项工作中进一步发展了更多的理论结果。此外，我们提出了误差估计器的几种变体，并将这些变体与现有的变体在理论和数字上都进行了比较。已经表明，某些提出的误差估计器的性能要比现有的误差效果更好或同样好。所有考虑的误差估计器都可以轻松扩展到稳定线性参数系统的降低排序建模的输出误差。
Motivated by a recently proposed error estimator for the transfer function of the reduced-order model of a given linear dynamical system, we further develop more theoretical results in this work. Furthermore, we propose several variants of the error estimator, and compare those variants with the existing ones both theoretically and numerically. It has been shown that some of the proposed error estimators perform better than or equally well as the existing ones. All the error estimators considered can be easily extended to estimate output error of reduced-order modeling for steady linear parametric systems.
