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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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 > Southampton Wireless Group
ePrint ID: 264645
Accepted Date and Publication Date:
October 2008Published
Date Deposited: 04 Oct 2007
Last Modified: 31 Mar 2016 14:09
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/264645

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