Autonomous linear lossless systems

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

Record type: Conference or Workshop Item (Poster)

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.

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Published date: July 2008

Additional Information: Event Dates: 6-11 July

Venue - Dates: 17th IFAC World Congress, Seoul, Korea, Republic of, 2008-07-06 - 2008-07-11

Organisations: Southampton Wireless Group

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Identifiers

Local EPrints ID: 266593

URI: http://eprints.soton.ac.uk/id/eprint/266593

PURE UUID: 9ac6fcd7-7adf-46fa-9d81-d5029c32a2ab

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Date deposited: 21 Aug 2008 10:26

Last modified: 14 Mar 2024 08:30

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Contributors

Author: Shodhan Rao

Author: Paolo Rapisarda

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