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Error bound for transfer function order reduction using freqeuncy weighted balanced truncation

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dc.contributor.authorSang Woo Kim, Woo Kimen
dc.contributor.authorAnderson, Brian D.O.en
dc.contributor.authorMadievski, Anton G.en
dc.date.accessioned2026-01-01T16:41:24Z
dc.date.available2026-01-01T16:41:24Z
dc.date.issued1995-02-13en
dc.description.abstractAn error bound for transfer function order reduction is derived, when frequency weighted balanced truncation is the order reduction method. The bound is valid for both one-sided (input or output) and two-sided weighted balancing approximations with stable weights, which can otherwise be arbitrary. The error bound formula is valid for both discrete-time and continuous-time problems. Examples are studied to demonstrate effectiveness of the error bound.en
dc.description.sponsorship* Corresponding author. * The authors wish to acknowledge the funding of the activities of the Cooperative Research Centre for Robust and Adaptive Systems by the Australian Commonwealth Government under the Cooperative Research Centres Program. 1 This author's work was performed at the address of the other authors.en
dc.description.statusPeer-revieweden
dc.format.extent10en
dc.identifier.issn0167-6911en
dc.identifier.otherORCID:/0000-0002-1493-4774/work/174739564en
dc.identifier.scopus0029255267en
dc.identifier.urihttps://hdl.handle.net/1885/733801616
dc.language.isoenen
dc.sourceSystems and Control Lettersen
dc.subjectBalanced truncationen
dc.subjectController order reductionen
dc.subjectFrequency domain error bounden
dc.subjectFrequency weightingen
dc.titleError bound for transfer function order reduction using freqeuncy weighted balanced truncationen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage192en
local.bibliographicCitation.startpage183en
local.contributor.affiliationSang Woo Kim, Woo Kim; Pohang University of Science and Technologyen
local.contributor.affiliationAnderson, Brian D.O.; School of Engineering, ANU College of Systems and Society, The Australian National Universityen
local.contributor.affiliationMadievski, Anton G.; Australian National Universityen
local.identifier.citationvolume24en
local.identifier.doi10.1016/0167-6911(94)00033-Ren
local.identifier.pure61d83b55-b922-4f4b-8196-96cd29ad1503en
local.identifier.urlhttps://www.scopus.com/pages/publications/0029255267en
local.type.statusPublisheden

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