The AAA framework for modeling linear dynamical systems with quadratic output

05/20/2020

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by   Ion Victor Gosea, et al.

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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.