Higher-order linear lossless systems
Rao, Shodhan and Rapisarda, Paolo (2008) Higher-order linear lossless systems. International Journal of Control, 81, (10), 1519-1536.
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.
|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
|Date Deposited:||04 Oct 2007|
|Last Modified:||31 Mar 2016 14:09|
|Further Information:||Google Scholar|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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