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Conserved- and zero-mean quadratic quantities in oscillatory systems

Record type: Article

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.

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Citation

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), pp. 173-200.

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: 18 Jul 2017 08:54

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Contributors

Author: Paolo Rapisarda
Author: Jan C. Willems

University divisions


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