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 and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 264544 |
| Date Deposited: | 20 Sep 2007 |
| Last Modified: | 01 Mar 2012 19:50 |
| Contributors: | Rao, Shodhan (Author) Rapisarda, Paolo (Author) |
| Date: | 2006 |
| Additional Information: | Event Dates: July 24-28, 2006 |
| Status: | Published |
| Further Information: | Google Scholar |
| URI: | http://eprints.soton.ac.uk/id/eprint/264544 |
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