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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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 > Southampton Wireless Group
ePrint ID: 262196
Accepted Date and Publication Date:
Date Deposited: 29 Mar 2006
Last Modified: 31 Mar 2016 14:05
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