The University of Southampton
University of Southampton Institutional Repository

Dissipativity preserving model reduction by retention of trajectories of minimal dissipation

Dissipativity preserving model reduction by retention of trajectories of minimal dissipation
Dissipativity preserving model reduction by retention of trajectories of minimal dissipation
We present a method for model reduction based on ideas from the behavioral theory of dissipative systems, in which the reduced order model is required to reproduce a subset of the set of trajectories of minimal dissipation of the original system. The passivity-preserving model reduction method of Antoulas (Syst Control Lett 54:361-374, 2005) and Sorensen (Syst Control Lett 54:347-360, 2005) is shown to be a particular case of this more general class of model reduction procedures.
model reduction, strictly dissipative systems, behaviors, minimal dissipation, driving variable representation, output nulling representations, Nevanlinna interpolation problem
171-201
Trentelman, H.L.
1b188fa0-a7fd-4050-a63f-4d6708c253be
Ha, B.M.
444b66cb-692a-4c88-8d54-0396f3c9a4b9
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Trentelman, H.L.
1b188fa0-a7fd-4050-a63f-4d6708c253be
Ha, B.M.
444b66cb-692a-4c88-8d54-0396f3c9a4b9
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Trentelman, H.L., Ha, B.M. and Rapisarda, P. (2009) Dissipativity preserving model reduction by retention of trajectories of minimal dissipation. Mathematics of Control, Signals, and Systems, 21, 171-201. (doi:10.1007/s00498-009-0043-6).

Record type: Article

Abstract

We present a method for model reduction based on ideas from the behavioral theory of dissipative systems, in which the reduced order model is required to reproduce a subset of the set of trajectories of minimal dissipation of the original system. The passivity-preserving model reduction method of Antoulas (Syst Control Lett 54:361-374, 2005) and Sorensen (Syst Control Lett 54:347-360, 2005) is shown to be a particular case of this more general class of model reduction procedures.

Text
art%3A10.1007%2Fs00498-009-0043-6.pdf - Version of Record
Download (362kB)
Text
Reductionpaper.pdf - Other
Download (590kB)

More information

Published date: 16 September 2009
Additional Information: Imported from ISI Web of Science
Keywords: model reduction, strictly dissipative systems, behaviors, minimal dissipation, driving variable representation, output nulling representations, Nevanlinna interpolation problem
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264662
URI: https://eprints.soton.ac.uk/id/eprint/264662
PURE UUID: f62a2387-6577-4e09-a20d-9c2487d701bd

Catalogue record

Date deposited: 10 Oct 2007
Last modified: 13 Dec 2018 17:30

Export record

Altmetrics

Contributors

Author: H.L. Trentelman
Author: B.M. Ha
Author: P. Rapisarda

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×