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Balanced parametrization of classes of linear systems

Balanced parametrization of classes of linear systems
Balanced parametrization of classes of linear systems

Canonical forms and parametrizations are presented for several sets of minimal systems of given dimension: asymptotically stable systems, allpass systems, bounded real systems, positive real systems, minimum-phase systems, and the class of all minimal systems. The approach is based on balancing techniques for these classes of systems. Applications of these results to Hankel operators and model reduction are discussed.

0363-0129
1251-1287
Ober, Raimund
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Ober, Raimund
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Ober, Raimund (1991) Balanced parametrization of classes of linear systems. SIAM Journal on Control and Optimization, 29 (6), 1251-1287. (doi:10.1137/0329065).

Record type: Article

Abstract

Canonical forms and parametrizations are presented for several sets of minimal systems of given dimension: asymptotically stable systems, allpass systems, bounded real systems, positive real systems, minimum-phase systems, and the class of all minimal systems. The approach is based on balancing techniques for these classes of systems. Applications of these results to Hankel operators and model reduction are discussed.

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Published date: 1991

Identifiers

Local EPrints ID: 424999
URI: http://eprints.soton.ac.uk/id/eprint/424999
ISSN: 0363-0129
PURE UUID: 2376d16d-85b0-45d8-bbad-30898d765bec
ORCID for Raimund 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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