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Bilinear differential forms and the Loewner framework for rational interpolation

Bilinear differential forms and the Loewner framework for rational interpolation
Bilinear differential forms and the Loewner framework for rational interpolation
The Loewner approach, based on the factorization of a special-structure matrix derived from data generated by a dynamical system, has been applied successfully to realization, generalized interpolation, and model reduction. We examine some connections between such approach and that based on bilinear- and quadratic differential forms arising in the behavioral framework.
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Antoulas, Athanasios C.
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Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Antoulas, Athanasios C.
0a38bcd3-29f6-431c-86d9-9de8856212dd

Rapisarda, Paolo and Antoulas, Athanasios C. (2015) Bilinear differential forms and the Loewner framework for rational interpolation. Mathematical systems theory: from behaviors to nonlinear control, Groningen, Netherlands. 11 - 12 Jul 2015.

Record type: Conference or Workshop Item (Other)

Abstract

The Loewner approach, based on the factorization of a special-structure matrix derived from data generated by a dynamical system, has been applied successfully to realization, generalized interpolation, and model reduction. We examine some connections between such approach and that based on bilinear- and quadratic differential forms arising in the behavioral framework.

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Published date: 2015
Venue - Dates: Mathematical systems theory: from behaviors to nonlinear control, Groningen, Netherlands, 2015-07-11 - 2015-07-12
Organisations: Vision, Learning and Control

Identifiers

Local EPrints ID: 379220
URI: http://eprints.soton.ac.uk/id/eprint/379220
PURE UUID: 4036078a-c7b0-4554-893c-a486bd681b88

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Date deposited: 21 Jul 2015 15:42
Last modified: 09 Jan 2022 03:31

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Contributors

Author: Paolo Rapisarda
Author: Athanasios C. Antoulas

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