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Necessary and Sufficient Conditions for Delay-Independent Stability of Linear Autonomous Systems

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dc.contributor.authorLewis, R. M.en
dc.contributor.authorAnderson, Brian D.O.en
dc.date.accessioned2026-01-02T13:41:10Z
dc.date.available2026-01-02T13:41:10Z
dc.date.issued1980en
dc.description.abstractStrict quasi-diagonal dominance of the system matrix is known to be sufficient for a linear autonomous system with arbitrary time delays in off-diagonal interactions to be stable. A small perturbation of the matrix yields a perturbed system with the same dominance, and, hence, stability properties. In this paper, it is shown that quasi-diagonal dominance is also necessary for stability with respect to small perturbations and arbitrary off-diagonal time delays. Weaker necessary conditions are given for systems which are themselves stable for all time delays, but which have perturbations that are unstable for certain delays.en
dc.description.statusPeer-revieweden
dc.format.extent5en
dc.identifier.issn0018-9286en
dc.identifier.otherORCID:/0000-0002-1493-4774/work/174739676en
dc.identifier.scopus0019046102en
dc.identifier.urihttps://hdl.handle.net/1885/733802770
dc.language.isoenen
dc.sourceIEEE Transactions on Automatic Controlen
dc.titleNecessary and Sufficient Conditions for Delay-Independent Stability of Linear Autonomous Systemsen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage739en
local.bibliographicCitation.startpage735en
local.contributor.affiliationLewis, R. M.; University of Newcastleen
local.contributor.affiliationAnderson, Brian D.O.; Department of Electrical Engineeringen
local.identifier.citationvolume25en
local.identifier.doi10.1109/TAC.1980.1102420en
local.identifier.pureb569340f-b9a5-4e17-a5ea-733544d16783en
local.identifier.urlhttps://www.scopus.com/pages/publications/0019046102en
local.type.statusPublisheden

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