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Asymptotic stability of infinite-dimensional discrete-time balanced realizations

Asymptotic stability of infinite-dimensional discrete-time balanced realizations
Asymptotic stability of infinite-dimensional discrete-time balanced realizations

The question of power and asymptotic stability of infinite-dimensional discrete-time state space systems is investigated. It is shown that every balanced realization is asymptotically stable. Conditions are given for balanced, input normal, or output normal realizations to be asymptotically and/or power stable.

0363-0129
1321-1339
Ober, Raimund
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Wu, Yuanyin
c25d67a2-c272-4fce-a8c5-90862020f181
Ober, Raimund
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Wu, Yuanyin
c25d67a2-c272-4fce-a8c5-90862020f181

Ober, Raimund and Wu, Yuanyin (1993) Asymptotic stability of infinite-dimensional discrete-time balanced realizations. SIAM Journal on Control and Optimization, 31 (5), 1321-1339. (doi:10.1137/0331062).

Record type: Article

Abstract

The question of power and asymptotic stability of infinite-dimensional discrete-time state space systems is investigated. It is shown that every balanced realization is asymptotically stable. Conditions are given for balanced, input normal, or output normal realizations to be asymptotically and/or power stable.

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Published date: 1993

Identifiers

Local EPrints ID: 425003
URI: https://eprints.soton.ac.uk/id/eprint/425003
ISSN: 0363-0129
PURE UUID: 35569b84-6dcf-4ec8-9d0c-44925aade951
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: 14 Mar 2019 01:21

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Contributors

Author: Raimund Ober ORCID iD
Author: Yuanyin Wu

University divisions

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