The University of Southampton
University of Southampton Institutional Repository

Conserved- and zero-mean quadratic quantities in oscillatory systems

Conserved- and zero-mean quadratic quantities in oscillatory systems
Conserved- and zero-mean quadratic quantities in oscillatory systems
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and intrinsic zero-mean quantities. We also state an equipartition of energy principle for oscillatory systems.
Linear oscillatory systems - Two-variable polynomial matrices - Quadratic differential forms - Behavioral system theory - Equipartition of energy
173-200
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Willems, Jan C.
3a5841a4-3cdb-4d99-8cb8-dd02ca641e87
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Willems, Jan C.
3a5841a4-3cdb-4d99-8cb8-dd02ca641e87

Rapisarda, Paolo and Willems, Jan C. (2005) Conserved- and zero-mean quadratic quantities in oscillatory systems. Mathematics of Control, Signals, and Systems (MCSS), 17 (3), 173-200.

Record type: Article

Abstract

We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and intrinsic zero-mean quantities. We also state an equipartition of energy principle for oscillatory systems.

Text
ConservedQuantitiesMCSS.pdf - Other
Download (296kB)

More information

Published date: 2005
Keywords: Linear oscillatory systems - Two-variable polynomial matrices - Quadratic differential forms - Behavioral system theory - Equipartition of energy
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 262196
URI: http://eprints.soton.ac.uk/id/eprint/262196
PURE UUID: 66381046-0802-48df-bca1-dc2e66c99147

Catalogue record

Date deposited: 29 Mar 2006
Last modified: 14 Mar 2024 07:06

Export record

Contributors

Author: Paolo Rapisarda
Author: Jan C. Willems

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.

×