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), pp. 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
Organisations: Southampton Wireless Group
ePrint ID: 262196
Date :
Date Event
2005Published
Date Deposited: 29 Mar 2006
Last Modified: 17 Apr 2017 21:45
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/262196

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