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A parametrization approach to infinite-dimensional balanced systems and their approximation

A parametrization approach to infinite-dimensional balanced systems and their approximation
A parametrization approach to infinite-dimensional balanced systems and their approximation

The problem of generalizing the concept of balanced realizations to infinitedimensional continuous-time systems is considered. The approach taken is based on the generalization of a parametrization of finite dimensional balanced realizations. Using semigroup theory an existence theorem and approximation results are derived.

0265-0754
263-280
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Ober, Raimund J. (1987) A parametrization approach to infinite-dimensional balanced systems and their approximation. IMA Journal of Mathematical Control and Information, 4 (4), 263-280. (doi:10.1093/imamci/4.4.263).

Record type: Article

Abstract

The problem of generalizing the concept of balanced realizations to infinitedimensional continuous-time systems is considered. The approach taken is based on the generalization of a parametrization of finite dimensional balanced realizations. Using semigroup theory an existence theorem and approximation results are derived.

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Published date: 1987

Identifiers

Local EPrints ID: 424989
URI: http://eprints.soton.ac.uk/id/eprint/424989
ISSN: 0265-0754
PURE UUID: 5aef7409-ddc1-42de-96a7-169adf795e2d
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

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Date deposited: 09 Oct 2018 16:30
Last modified: 16 Mar 2024 04:37

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