minh, ha binh (Univ. of Groningen), rapisarda, paolo (Univ. of Southampton), trentelman, h.l. (Univ. of Groningen)

Model Reduction by Retention of Stationary Trajectories

Scheduled for presentation during the Mini-Symposium "Dimension reduction of large-scale systems I" (ThA05), Thursday, July 27, 2006, 10:50−11:15, Room F

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

Recently, Antoulas and Sorensen have proposed a new scheme for passivity-preserving model reduction based on rational positive-real interpolation, and effective numerical algorithms implementing it. We show that their approach can also be looked at from an angle of the theory of dissipative systems. From our standpoint the results of Antoulas and Sorensen can be interpreted as a special case of a general method for model reduction by modeling stationary trajectories, which aims at obtaining a reduced-order model which reproduces certain special trajectories of the original system.