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A duality perspective on Loewner rational interpolation and state-space modelling of vector-exponential trajectories

A duality perspective on Loewner rational interpolation and state-space modelling of vector-exponential trajectories
A duality perspective on Loewner rational interpolation and state-space modelling of vector-exponential trajectories
We explore some connections between the Loewner approach to interpolation and realization, and that based on bilinear differential forms arising in the behavioral framework. We show that a crucial concept underlying both approaches is that of duality of trajectories, and that many known results can be interpreted in its light
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Antoulas, Athanasios C.
0a38bcd3-29f6-431c-86d9-9de8856212dd
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Antoulas, Athanasios C.
0a38bcd3-29f6-431c-86d9-9de8856212dd

Rapisarda, Paolo and Antoulas, Athanasios C. (2015) A duality perspective on Loewner rational interpolation and state-space modelling of vector-exponential trajectories. 54th IEEE Conference on Decision and Control, Japan. 15 - 18 Dec 2015. 5 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

We explore some connections between the Loewner approach to interpolation and realization, and that based on bilinear differential forms arising in the behavioral framework. We show that a crucial concept underlying both approaches is that of duality of trajectories, and that many known results can be interpreted in its light

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Accepted/In Press date: 2015
Venue - Dates: 54th IEEE Conference on Decision and Control, Japan, 2015-12-15 - 2015-12-18
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 381198
URI: https://eprints.soton.ac.uk/id/eprint/381198
PURE UUID: 6c95b3af-c32d-4478-aa68-2675bbe1cfe2

Catalogue record

Date deposited: 17 Sep 2015 08:48
Last modified: 17 Jul 2017 20:29

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Contributors

Author: Paolo Rapisarda
Author: Athanasios C. Antoulas

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