MODEL REDUCTION OF BILINEAR SYSTEMS IN THE LOEWNER FRAMEWORK
MODEL REDUCTION OF BILINEAR SYSTEMS IN THE LOEWNER FRAMEWORK
复制标题
DOI：
10.1137/15m1041432
复制
发表时间：
2016-01-01
影响因子：
3.1
通讯作者：
Ionita, A. C.
中科院分区：
文献类型：
--
作者：
Antoulas, A. C.;Gosea, I. V.;Ionita, A. C.
将模型约简的Loewner框架推广到双线性系统。与现有的框架相比，这个框架的主要优点是，Loewner铅笔在准确性和复杂性之间进行了权衡。此外，通过这个框架，可以直接从输入-输出数据导出状态空间模型，而不需要初始系统矩阵。本文还介绍了最近介绍的Volterra级数插值方法。几个数值实验说明了这种方法的主要特点。
The Loewner framework for model reduction is extended to the class of bilinear systems. The main advantage of this framework over existing ones is that the Loewner pencil introduces a trade-off between accuracy and complexity. Furthermore, through this framework, one can derive state-space models directly from input-output data without requiring initial system matrices. The recently introduced methodology of Volterra series interpolation is also addressed. Several numerical experiments illustrate the main features of this approach.