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Higher-order linear lossless systems

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

Record type: Article


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.

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Published date: October 2008
Keywords: linear oscillatory systems, quadratic differential forms, conserved quantities, positivity, inconsequential inputs, energy function.
Organisations: Southampton Wireless Group


Local EPrints ID: 264645
ISSN: 0020-3270
PURE UUID: fd0e9553-4afc-42ed-a03d-7fb8de057589

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Date deposited: 04 Oct 2007
Last modified: 18 Jul 2017 07:33

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Author: Shodhan Rao
Author: Paolo Rapisarda

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