The University of Southampton
University of Southampton Institutional Repository

Autonomous linear lossless systems

Rao, Shodhan and Rapisarda, Paolo (2008) Autonomous linear lossless systems At 17th IFAC World Congress, Korea, Republic of. 06 - 11 Jul 2008.

Record type: Conference or Workshop Item (Poster)


We define a lossless autonomous system as one having a quadratic differential form associated with it called an energy function, which is positive and which is conserved. We define an oscillatory system as one which has all its trajectories bounded on the entire time axis. In this paper, we show that an autonomous system is lossless if and only if it is oscillatory. Next we discuss a few properties of energy functions of autonomous lossless systems and a suitable way of splitting a given energy function into its kinetic and potential energy components.

PDF 1581.pdf - Version of Record
Download (260kB)

More information

Published date: July 2008
Additional Information: Event Dates: 6-11 July
Venue - Dates: 17th IFAC World Congress, Korea, Republic of, 2008-07-06 - 2008-07-11
Organisations: Southampton Wireless Group


Local EPrints ID: 266593
PURE UUID: 9ac6fcd7-7adf-46fa-9d81-d5029c32a2ab

Catalogue record

Date deposited: 21 Aug 2008 10:26
Last modified: 18 Jul 2017 07:15

Export record


Author: Shodhan Rao
Author: Paolo 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 supports OAI 2.0 with a base URL of

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.