Aggregation matrix for the reduced-order continued fraction expansion model of Chen and Shieh

A relationship between the states of a high-order system, and its reduced-order continued fraction expansion model of Chen and Shieh, has been derived. This relationship, in the form of an aggregation matrix, has been used for studying the dynamic response of a high-order system from a simulation of its reduced-order model. An example is included to illustrate that considerable improvement results by utilizing the aggregation matrix concept.