论文标题
结构化双线性控制系统切向插值的统一框架
A unifying framework for tangential interpolation of structured bilinear control systems
论文作者
论文摘要
在本文中，我们考虑了通过切向插值来考虑多输入/多输出双线性控制系统的结构贴模订单减少问题。我们为结构化双线性系统提出了一种新型的切向插值问题，为此我们开发了一个新的结构性提供插值框架。这个新框架扩展了文献中双线性系统的切向插值的不同配方，还提供了一个统一的框架。然后，我们在投影空间上得出明确的条件，以在不同的设置中强制执行切向插值，包括切向Hermite插值的条件。通过三个数值示例来说明该分析。
In this paper, we consider the structure-preserving model order reduction problem for multi-input/multi-output bilinear control systems by tangential interpolation. We propose a new type of tangential interpolation problem for structured bilinear systems, for which we develop a new structure-preserving interpolation framework. This new framework extends and generalizes different formulations of tangential interpolation for bilinear systems from the literature and also provides a unifying framework. We then derive explicit conditions on the projection spaces to enforce tangential interpolation in different settings, including conditions for tangential Hermite interpolation. The analysis is illustrated by means of three numerical examples.
