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.

中文翻译：

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具有二次输出的线性动力系统建模 AAA 框架

我们考虑具有二次输出的线性动力系统。我们首先定义两个传递函数，一个是单变量传递函数，一个是多变量传递函数，它们充分描述了这些特殊非线性系统的动力学。然后，使用这两个传递函数的样本，我们将 AAA 算法扩展到对具有二次数据输出的线性系统进行建模。