Abstract
Abstract The paper introduces a subclass of nonlinear differential-algebraic models of interest for applications. By restricting the nonlinearities to multilinear polynomials, it is possible to use modern tensor methods. This opens the door to new approximation and complexity reduction methods for large scale systems with relevant nonlinear behavior. The modeling procedures including composition, decomposition, normalization, and multilinearization steps are shown by an example of a local energy system with a nonlinear electrolyzer, a linear buck converter and a PI controller with saturation.
Highlights
The modeling procedures including composition, decomposition, normalization, and multilinearization steps are shown by an example of a local energy system with a nonlinear electrolyzer, a linear buck converter and a PI controller with saturation
It further extends the class of multilinear time-invariant (MTI) models from explicit state space models to implicit descriptor models
To overcome this obstacle we introduce implicit multilinear time-invariant (iMTI) models similar to descriptor systems in the subsection
Summary
Gerwald Lichtenberg*, Georg Pangalos, Carlos Cateriano Yáñez, Aline Luxa, Niklas Jöres, Leona Schnelle and Christoph Kaufmann.
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