Algebraic properties of minimal degree spectral factors

dc.contributor.authorAnderson, Brian D.O.en
dc.date.accessioned2026-01-02T20:41:31Z
dc.date.available2026-01-02T20:41:31Z
dc.date.issued1973en
dc.description.abstractThe paper derives a result connecting frequency-domain and time-domain properties of different spectral factors of the one power spectrum matrix. These results are interpreted from an algebraic point of view, and applied to the linear-quadratic optimal control and filtering problem. Interpretations are given of the phenomenon that many optimal control problems can lead to the same optimal control law but different optimal cost, and likewise many filtering problems can lead to the same optimal filter, but different filter performance.en
dc.description.statusPeer-revieweden
dc.format.extent10en
dc.identifier.issn0005-1098en
dc.identifier.otherORCID:/0000-0002-1493-4774/work/174739907en
dc.identifier.scopus0000566346en
dc.identifier.urihttps://hdl.handle.net/1885/733803002
dc.language.isoenen
dc.sourceAutomaticaen
dc.titleAlgebraic properties of minimal degree spectral factorsen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage500en
local.bibliographicCitation.startpage491en
local.contributor.affiliationAnderson, Brian D.O.; Department of Electrical Engineeringen
local.identifier.citationvolume9en
local.identifier.doi10.1016/0005-1098(73)90094-0en
local.identifier.puree6df8617-73eb-4b34-a1a4-08fb9a13ea8den
local.identifier.urlhttps://www.scopus.com/pages/publications/0000566346en
local.type.statusPublisheden

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