Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems


Rao, Shodhan and Rapisarda, Paolo (2006) Bases of conserved and zero-mean quadratic quantities for linear oscillatory systems. In, 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 24 - 28 Jul 2006.

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Description/Abstract

We study the structure and properties of the set of intrinsically zero-mean quadratic quantities for linear oscillatory systems, i.e. quantities having a zero asymptotic average only on such a behavior. We generalize the principle of least action to oscillatory systems described by higher order equations, and show that intrinsically zero-mean quadratic quantities can be interpreted as generalized Lagrangians. We extend this analysis to the multivariable case and illustrate a method of generation of basis of conserved quantities.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Event Dates: July 24-28, 2006
Keywords: linear oscillatory systems, two-variable polynomial matrices, quadratic differential forms, trivially zero-mean quantities, intrinsically zero-mean quantities, conserved quantities, generalized Lagrangian.
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 264544
Date Deposited: 20 Sep 2007
Last Modified: 27 Mar 2014 20:08
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/264544

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