To counter the volatile nature of renewable energy sources, gas networks take a vital role.
But, to ensure fulfillment of contracts under these circumstances, a vast number of possible …

System Gramian matrices are a well-known encoding for properties of input-output systems
such as controllability, observability or minimality. These so-called system Gramians were …

On the basis of the cross Gramian and the singular value decomposition, this brief
investigates model order reduction of linear time-invariant systems in the view of the …

The cross Gramian is a useful tool in model order reduction but only applicable to square
dynamical systems. Throughout this paper, time-limited cross Gramians is firstly extended to …

Based on the approximate finite-time Gramians, this paper studies model order reduction
method of port-Hamiltonian systems with inhomogeneous initial conditions. The …

This paper considers model order reduction based on low-rank decomposition of the cross
Gramian for linear systems. The proposed approach uses the low-rank factors of the cross …

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 …

This paper presents a new approach to modeling of linear time-invariant discrete-time non-
commensurate fractional-order single-input single-output state space systems by means of …

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 …