Abstract
Recently, the model simplification methods of the large scale linear dynamical systems have been proposed by many authors.
In this paper, using the aggregation method, we investigate the representation problem of the reduced-order models of singular perturbation theory and Routh-approximation method.
By virtue of this result, we obtain a simplified representation of the different reduced-order models, which enables us to apply the optimal control system design techniques via the aggregation method already proposed.