The /spl sigma/-reciprocal system for model reduction of k-power bilinear systems

摘要

In this paper the /spl sigma/-reciprocal system for the k-power bilinear system is defined. We introduce the /spl sigma/-reciprocal bilinear system and we show that the bilinear generalized singular perturbation approximation (GSPA) is related to the direct truncation of its /spl sigma/-reciprocal bilinear system. Model reduction algorithms based on the analysis of the /spl sigma/-reciprocal bilinear system are given. Numerical example is reported for the proposed model reduction methods.