Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems

We propose a projection based multi-moment matching method for model order reduction of quadratic-bilinear systems. The goal is to construct reduced system that ensures higher-order moment the multivariate transfer functions appearing in input-output representation non-linear system. An existing technique achieves this first two functions, what called symmetric form functions. extend framework an equivalent and simplified form, regular which allows us show three Numerical results benchmark examples systems proposed exhibits better performance with computational cost comparison techniques.