Implicit multilinear modeling

Abstract The paper introduces a subclass of nonlinear differential-algebraic models interest for applications. By restricting the nonlinearities to multilinear polynomials, it is possible use modern tensor methods. This opens door new approximation and complexity reduction methods large scale systems with relevant behavior. modeling procedures including composition, decomposition, normalization, multilinearization steps are shown by an example local energy system electrolyzer, linear buck converter PI controller saturation.