Autonomous linear lossless systems


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

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Description/Abstract

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.

Item Type: Conference or Workshop Item (Poster)
Additional Information: Event Dates: 6-11 July
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 266593
Date Deposited: 21 Aug 2008 10:26
Last Modified: 27 Mar 2014 20:12
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/266593

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