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.
|ScienceOpen disciplines:||Applied mathematics, Applications, Statistics, Data analysis, Mathematics, Mathematical modeling & Computation|
|Keywords:||Volterra series representation, Krylov subspace methods, nonlinear dynamical systems, model order reduction, systems theory|