Nonlinear Model Order Reduction: A system-theoretic viewpoint

In this contribution, we consider nonlinear model order reduction from a system-theoretic viewpoint. To this end, we transfer the time domain interpretation of linear moment matching to nonlinear systems. For bilinear systems we hereby provide the time domain perception of Volterra series interpolation. For nonlinear systems we propose some simplifications to achieve a ready-to-implement, simulation-free model reduction algorithm.