Stability preserving post-processing methods applied in the Loewner framework
Stability preserving post-processing methods applied in the Loewner framework
复制标题
Loewner框架中应用的保稳后处理方法
DOI：
10.1109/sapiw.2016.7496283
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
A. Antoulas
中科院分区：
文献类型：
--
作者：
I. V. Gosea;A. Antoulas
我们提供了一个概述的Loewner方法，这是一个插值模型降阶技术。它使用测量或计算的数据（例如，待近似系统的频率响应的测量值）而不是系统矩阵，并基于秩揭示适当构造的矩阵的因式分解来构造简化模型。在某些情况下，所得到的简化系统可能不稳定。这个问题是通过开发可靠和强大的后处理方法来解决的，以产生一个稳定的简化模型。
We provide an overview of the Loewner methodology which is an interpolatory model order reduction technique. It uses measured or computed data (e.g. measurements of the frequency response of a to-be approximated system) instead of the system matrices, and constructs reduced models based on a rank revealing factorization of appropriately constructed matrices. In some cases the resulting reduced systems may not be stable. This issue is addressed by developing reliable and robust post processing methods to yield a stable reduced model.