Krylov-based order reduction using Laguerre series expansion

Abstract

This paper presents Krylov-based model order reduction based on the Laguerre description of the system's transfer function. Starting from the Laguerre-based reduction method for state space systems, two extensions are proposed for the reduction of systems of second-order structures. In addition, the connection between the classical moment matching and the Laguerre-based reduction approaches is investigated and their equivalence under specific conditions is presented.