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A polynomial approach to the realization of J-lossless behaviors

A polynomial approach to the realization of J-lossless behaviors
A polynomial approach to the realization of J-lossless behaviors
We consider the problem of realizing lossless behaviours with respect to the supply rate equal to the scalar product of the input and of the derivative of the output variables. Using polynomial algebraic method we devise a realization procedure which, starting from an image representation, yields the same state representation used by van der Schaft and Oeloff in the context of model reduction. We also apply the insights derived from this realization procedure to the synthesis of lossless mechanical systems with given transfer functions using springs and masses.
Rao, Shodhan
872c35fb-5276-4f32-8236-0efc423d962e
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Moody, Lewis
fd7d0d4b-4d8d-4d79-8f91-fb8895c3b203
Rao, Shodhan
872c35fb-5276-4f32-8236-0efc423d962e
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Moody, Lewis
fd7d0d4b-4d8d-4d79-8f91-fb8895c3b203

Rao, Shodhan, Rapisarda, Paolo and Moody, Lewis (2010) A polynomial approach to the realization of J-lossless behaviors. MTNS 2010, Budapest, Hungary. 05 - 09 Jul 2010.

Record type: Conference or Workshop Item (Paper)

Abstract

We consider the problem of realizing lossless behaviours with respect to the supply rate equal to the scalar product of the input and of the derivative of the output variables. Using polynomial algebraic method we devise a realization procedure which, starting from an image representation, yields the same state representation used by van der Schaft and Oeloff in the context of model reduction. We also apply the insights derived from this realization procedure to the synthesis of lossless mechanical systems with given transfer functions using springs and masses.

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More information

Published date: 9 July 2010
Additional Information: Event Dates: July 5-9, 2010
Venue - Dates: MTNS 2010, Budapest, Hungary, 2010-07-05 - 2010-07-09
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 271384
URI: http://eprints.soton.ac.uk/id/eprint/271384
PURE UUID: c57af837-77d7-4979-a8b4-6d61bb3a1490

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Date deposited: 12 Jul 2010 12:01
Last modified: 14 Mar 2024 09:29

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Contributors

Author: Shodhan Rao
Author: Paolo Rapisarda
Author: Lewis Moody

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