Conserved- and zero-mean quadratic quantities in oscillatory systems
Conserved- and zero-mean quadratic quantities in oscillatory systems
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.
Linear oscillatory systems - Two-variable polynomial matrices - Quadratic differential forms - Behavioral system theory - Equipartition of energy
173-200
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Willems, Jan C.
3a5841a4-3cdb-4d99-8cb8-dd02ca641e87
2005
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Willems, Jan C.
3a5841a4-3cdb-4d99-8cb8-dd02ca641e87
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), .
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.
Text
ConservedQuantitiesMCSS.pdf
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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
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Date deposited: 29 Mar 2006
Last modified: 14 Mar 2024 07:06
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Contributors
Author:
Paolo Rapisarda
Author:
Jan C. Willems
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