The cross Gramian matrix is a tool for model reduction and system identification, but it is only
applicable to square control systems. For symmetric systems, the cross Gramian possesses …

A standard approach for model reduction of linear input-output systems is balanced
truncation, which is based on the controllability and observability properties of the …

In this work, the empirical-Gramian-based model reduction methods: Empirical poor man's
truncated balanced realization, empirical approximate balancing, empirical dominant …

In this paper, the H 2 optimal model order reduction method for the large-scale multiple-input
multiple-output (MIMO) discrete system is investigated. First, the MIMO discrete system is …

As an alternative to the popular balanced truncation method, the cross Gramian matrix
induces a class of balancing model reduction techniques. Besides the classical computation …

In this work, we present a new cross-gramian. The proposed gramian is a truncated gramian
which supports bilinear systems. It is proven that the truncated cross-gramian can be …

In the ongoing search for mathematically efficient methods of predicting the motion of
multibody dynamics systems, and presenting the associated results, one of the avenues of …