The University of Southampton
University of Southampton Institutional Repository

Canonical realizations by factorization of constant matrices

Canonical realizations by factorization of constant matrices
Canonical realizations by factorization of constant matrices
In van der Schaft and Rapisarda (2011) [3] we showed that a state variable for a LTI system can be computed factorizing a two-variable polynomial matrix computed directly from the system equations. Different factorizations of this matrix yield different state maps, and consequently different state equations; based on this fact we present a unifying point of view on some classical canonical forms for linear systems.
state maps, bilinear differential forms, canonical realization
827-833
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Schaft, van der, Arjan
0d954dfb-0c92-42b8-b00d-8fe71b4904b2
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Schaft, van der, Arjan
0d954dfb-0c92-42b8-b00d-8fe71b4904b2

Rapisarda, Paolo and Schaft, van der, Arjan (2012) Canonical realizations by factorization of constant matrices. Systems & Control Letters, 61 (8), 827-833. (doi:10.1016/j.sysconle.2012.05.004).

Record type: Article

Abstract

In van der Schaft and Rapisarda (2011) [3] we showed that a state variable for a LTI system can be computed factorizing a two-variable polynomial matrix computed directly from the system equations. Different factorizations of this matrix yield different state maps, and consequently different state equations; based on this fact we present a unifying point of view on some classical canonical forms for linear systems.

Text
1-s2.0-S0167691112001016-main.pdf - Version of Record
Restricted to Repository staff only
Request a copy

More information

e-pub ahead of print date: July 2012
Published date: August 2012
Keywords: state maps, bilinear differential forms, canonical realization
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 340730
URI: http://eprints.soton.ac.uk/id/eprint/340730
PURE UUID: 40419e2d-a582-4d8f-bb08-f17e76f77d35

Catalogue record

Date deposited: 02 Jul 2012 11:23
Last modified: 14 Mar 2024 11:29

Export record

Altmetrics

Contributors

Author: Paolo Rapisarda
Author: Arjan Schaft, van der

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 http://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.

×