On the σ - reciprocal system for model order reduction

In this paper a definition of the oσ-reciprocal system is introduced. This allows us to show that the generalized singular perturbation approximation method for model reduction is related to the direct truncation of the σ -reciprocal system. On the basis of this definition, two new model order reduction algorithms are presented. The suitability of the proposed reduction methods is illustrated by means of two numerical examples.