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Algorithms for polynomial spectral factorization and bounded-real balanced state space representations

Algorithms for polynomial spectral factorization and bounded-real balanced state space representations
Algorithms for polynomial spectral factorization and bounded-real balanced state space representations
We illustrate an algorithm that starting from the image representation of a strictly bounded-real system computes a minimal balanced state variable, from which a minimal balanced state realization is readily obtained. The algorithm stems from an iterative procedure to compute a storage function, based on a technique to solve a generalization of the Nevanlinna interpolation problem.
Nevanlinna interpolation problem, model reduction, balanced state space representation, quadratic differential forms, two-variable polynomial matrices
231-255
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Trentelman, Harry L.
28ee0a03-4052-46ce-8e7e-41f6a76fe450
Minh, Ha B.
3c7c36db-559b-4cf0-860e-58afd2dc6854
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Trentelman, Harry L.
28ee0a03-4052-46ce-8e7e-41f6a76fe450
Minh, Ha B.
3c7c36db-559b-4cf0-860e-58afd2dc6854

Rapisarda, Paolo, Trentelman, Harry L. and Minh, Ha B. (2013) Algorithms for polynomial spectral factorization and bounded-real balanced state space representations. Mathematics of Control, Signals, and Systems, 25 (2), 231-255. (doi:10.1007/s00498-012-0095-x).

Record type: Article

Abstract

We illustrate an algorithm that starting from the image representation of a strictly bounded-real system computes a minimal balanced state variable, from which a minimal balanced state realization is readily obtained. The algorithm stems from an iterative procedure to compute a storage function, based on a technique to solve a generalization of the Nevanlinna interpolation problem.

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e-pub ahead of print date: 21 October 2012
Published date: 2013
Keywords: Nevanlinna interpolation problem, model reduction, balanced state space representation, quadratic differential forms, two-variable polynomial matrices
Organisations: Southampton Wireless Group

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Local EPrints ID: 351470
URI: http://eprints.soton.ac.uk/id/eprint/351470
PURE UUID: 2e2bbf2d-4859-404c-ac97-7bf2eb84043e

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Date deposited: 22 Apr 2013 12:52
Last modified: 14 Mar 2024 13:40

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Contributors

Author: Paolo Rapisarda
Author: Harry L. Trentelman
Author: Ha B. Minh

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