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Stability of control systems with multiple nonlinearities

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dc.contributor.authorAnderson, B. D.O.en
dc.date.accessioned2026-01-02T21:41:30Z
dc.date.available2026-01-02T21:41:30Z
dc.date.issued1966en
dc.description.abstractThis paper generalizes the Popov criterion for the stability of a system containing a simple memoryless nonlinearity to the case of a system containing an arbitrary number of memoryless nonlinearities. In stating the problem formally, we point out two apparently distinct occurrences of nonlinearities which are really not different, so that both are in the ambit of the problem considered. The main result is established, with an application to deriving a subsidiary result, already discovered by other techniques, on the stability of second-order nonlinear systems.en
dc.description.sponsorshipThis work was supported by Joint Services Contract No. 225(83). The author would also like to acknowledge the support of an agency of the Australian government, the Services Canteens Trust Fund, and the United States Educational Foundation in Australia, which provided a Fulbright grant.en
dc.description.statusPeer-revieweden
dc.format.extent6en
dc.identifier.issn0016-0032en
dc.identifier.otherORCID:/0000-0002-1493-4774/work/174739974en
dc.identifier.scopus0039141275en
dc.identifier.urihttps://hdl.handle.net/1885/733803139
dc.language.isoenen
dc.sourceJournal of the Franklin Instituteen
dc.titleStability of control systems with multiple nonlinearitiesen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage160en
local.bibliographicCitation.startpage155en
local.contributor.affiliationAnderson, B. D.O.; Stanford Universityen
local.identifier.citationvolume282en
local.identifier.doi10.1016/0016-0032(66)90317-6en
local.identifier.pure67c69303-c1b7-4545-8e8e-0b3e89a12bdben
local.identifier.urlhttps://www.scopus.com/pages/publications/0039141275en
local.type.statusPublisheden

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