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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.
9783319210025
0170-8643
462
23-43
Springer
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Antoulas, Athanasios C.
0a38bcd3-29f6-431c-86d9-9de8856212dd
Belur, Madhu N.
Camlibel, M. Kanat
Rapisarda, Paolo
Scherpen, Jacquelien M.A.
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Antoulas, Athanasios C.
0a38bcd3-29f6-431c-86d9-9de8856212dd
Belur, Madhu N.
Camlibel, M. Kanat
Rapisarda, Paolo
Scherpen, Jacquelien M.A.

Rapisarda, Paolo and Antoulas, Athanasios C. (2015) Bilinear differential forms and the Loewner framework for rational interpolation. In, Belur, Madhu N., Camlibel, M. Kanat, Rapisarda, Paolo and Scherpen, Jacquelien M.A. (eds.) Mathematical Control Theory II: Behavioral Systems and Robust Control. (Lecture Notes in Control and Information Sciences, 462) Berlin, DE. Springer, pp. 23-43. (doi:10.1007/978-3-319-21003-2_2).

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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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Accepted/In Press date: 9 July 2015
Published date: 9 July 2015

Identifiers

Local EPrints ID: 379526
URI: http://eprints.soton.ac.uk/id/eprint/379526
ISBN: 9783319210025
ISSN: 0170-8643
PURE UUID: 0fdff77a-2499-4ac3-82ff-f0e52c62c155

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Date deposited: 04 Aug 2015 13:56
Last modified: 14 Mar 2024 20:43

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Contributors

Author: Paolo Rapisarda
Author: Athanasios C. Antoulas
Editor: Madhu N. Belur
Editor: M. Kanat Camlibel
Editor: Paolo Rapisarda
Editor: Jacquelien M.A. Scherpen

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