论文标题

用于降低参数双线性系统模型的结构插值插值

Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems

论文作者

Benner, Peter, Gugercin, Serkan, Werner, Steffen W. R.

论文摘要

在本文中,我们提出了一个插值框架,用于降低参数双线性动力学系统的结构模型订单。我们介绍了一个通用设置,涵盖了参数双线性系统的各种不同结构,然后为预测空间提供了结构化子系统传输函数插值的条件,以便在还原阶模型中保留了系统结构和参数依赖关系。两个具有不同参数依赖性的基准示例用于证明理论分析。

In this paper, we present an interpolation framework for structure-preserving model order reduction of parametric bilinear dynamical systems. We introduce a general setting, covering a broad variety of different structures for parametric bilinear systems, and then provide conditions on projection spaces for the interpolation of structured subsystem transfer functions such that the system structure and parameter dependencies are preserved in the reduced-order model. Two benchmark examples with different parameter dependencies are used to demonstrate the theoretical analysis.

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