Interpolation-Based Model Order Reduction for Polynomial Systems

نویسندگان

چکیده

In this work, we investigate a model-order reduction scheme for polynomial systems. We begin with defining the generalized multivariate transfer functions system. Based on this, aim at constructing reduced-order system, interpolating defined given set of interpolation points. Furthermore, provide method, inspired by Loewner approach linear and (quadratic-)bilinear systems, to determine good-quality system in an automatic way. also discuss computational issues related proposed method potential application CUR matrix approximation order further speed up simulation test efficiency via two benchmark examples.

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ژورنال

عنوان ژورنال: SIAM Journal on Scientific Computing

سال: 2021

ISSN: ['1095-7197', '1064-8275']

DOI: https://doi.org/10.1137/19m1259171