论文标题

使用二次输出建模线性动力学系统的AAA框架

The AAA framework for modeling linear dynamical systems with quadratic output

论文作者

Gosea, Ion Victor, Gugercin, Serkan

论文摘要

我们考虑具有二次输出的线性动力学系统。我们首先定义了两个传输函数,即单变量和多元传输函数,该功能充分描述了这些特殊的非线性系统的动力学。然后,使用这两个传输函数的样品,我们将AAA算法扩展到具有数据的二次输出的线性系统。

We consider linear dynamical systems with quadratic output. We first define the two transfer functions, a single-variable and a multivariate one, that fully describe the dynamics of these special nonlinear systems. Then, using the samples of these two transfer functions, we extend the AAA algorithm to model linear systems with quadratic output from data.

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