Conserved- and zero-mean quadratic quantities in oscillatory systems
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.
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Description/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.
| Item Type: | Article |
|---|---|
| Keywords: | Linear oscillatory systems - Two-variable polynomial matrices - Quadratic differential forms - Behavioral system theory - Equipartition of energy |
| Divisions: | Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 262196 |
| Date Deposited: | 29 Mar 2006 |
| Last Modified: | 02 Mar 2012 14:04 |
| Contributors: | Rapisarda, Paolo (Author) Willems, Jan C. (Author) |
| Date: | 2005 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 5 |
| URI: | http://eprints.soton.ac.uk/id/eprint/262196 |
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