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Time-varying problems of H<sup>∞</sup> control and absolute stabilizability of uncertain systems

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dc.contributor.authorSavkin, Andrey V.en
dc.contributor.authorPetersen, Ian R.en
dc.date.accessioned2026-06-27T17:40:24Z
dc.date.available2026-06-27T17:40:24Z
dc.date.issued1994en
dc.description.abstractThis paper considers an absolute stabilization problem for a class of time-varying uncertain systems in which the uncertainty satisfies an integral quadratic constraint. The main result of the paper shows that a state feedback absolute stabilization problem has a solution if and only if there exists a solution to a corresponding infinite horizon, time-varying, state feedback H∞ control problem. The paper also shows that if either of these problems can be solved via the use of nonlinear state feedback control then it can also be solved via the use of linear state feedback control. Furthermore, the required controller can be constructed by solving a Riccati differential equation. The paper also considers the special case of periodic time-varying systems.en
dc.description.sponsorshipThis work was supported by the Australian Research Council.en
dc.description.statusPeer-revieweden
dc.format.extent5en
dc.identifier.isbn0-7803-1783-1en
dc.identifier.issn0743-1619en
dc.identifier.otherORCID:/0000-0003-4856-9450/work/218729856en
dc.identifier.scopus0028557799en
dc.identifier.urihttps://hdl.handle.net/1885/733812162
dc.language.isoenen
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en
dc.relation.ispartofProceedings of 1994 American Control Conference - ACC '94en
dc.relation.ispartofseriesProceedings of the 1994 American Control Conference. Part 1 (of 3)en
dc.relation.ispartofseriesProceedings of the American Control Conferenceen
dc.titleTime-varying problems of H<sup>∞</sup> control and absolute stabilizability of uncertain systemsen
dc.typeConference paperen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage1505en
local.bibliographicCitation.startpage1501en
local.contributor.affiliationSavkin, Andrey V.; Australian Defence Force Acaden
local.contributor.affiliationPetersen, Ian R.; Australian Defence Force Acaden
local.identifier.citationvolume2en
local.identifier.doi10.1109/ACC.1994.752317en
local.identifier.puree704efd3-6868-49e8-8f6f-01cfd1c74e77en
local.identifier.urlhttps://www.scopus.com/pages/publications/0028557799en
local.type.statusPublisheden

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