Higher-order linear lossless systems


Rao, Shodhan and Rapisarda, Paolo (2008) Higher-order linear lossless systems. International Journal of Control, 81, (10), 1519-1536.

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Description/Abstract

We define a lossless autonomous system as one having a quadratic differential form associated with it called the total energy, which obeys the property of positivity and which is conserved. In this paper, we show that an autonomous system is lossless if and only if it is oscillatory. Next we discuss a suitable way of splitting the total energy function into its kinetic and potential energy components. We also extend the investigation to the case of open systems.

Item Type: Article
ISSNs: 0020-7179
Keywords: linear oscillatory systems, quadratic differential forms, conserved quantities, positivity, inconsequential inputs, energy function.
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 264645
Date Deposited: 04 Oct 2007
Last Modified: 27 Mar 2014 20:09
Further Information:Google Scholar
ISI Citation Count:2
URI: http://eprints.soton.ac.uk/id/eprint/264645

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