Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

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dc.contributor.authorDiblík, Josefcs
dc.contributor.authorKhusainov, Denys Ya.cs
dc.contributor.authorShatyrko, Andrejcs
dc.contributor.authorBaštinec, Jaromírcs
dc.contributor.authorSvoboda, Zdeněkcs
dc.coverage.issue1cs
dc.coverage.volume11cs
dc.date.issued2022-01-01cs
dc.description.abstractThe paper studies absolute stability of neutral differential nonlinear systems (x) over dot (t) = Ax (T) + Bx (t - tau) +D(x) over dot (T - tau) + bf (sigma(t)), sigma(t) = c(T) x(t), t >= 0 where x is an unknown vector, A, B and D are constant matrices, b and c are column constant vectors, tau > 0 is a constant delay and f is a Lurie-type nonlinear function satisfying Lipschitz condition. Absolute stability is analyzed by a general Lyapunov-Krasovskii functional with the results compared with those previously known.en
dc.formattextcs
dc.format.extent726-740cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAdvances in Nonlinear Analysis. 2022, vol. 11, issue 1, p. 726-740.en
dc.identifier.doi10.1515/anona-2021-0216cs
dc.identifier.issn2191-950Xcs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.orcid0000-0002-6228-3857cs
dc.identifier.orcid0000-0001-6688-0512cs
dc.identifier.other175471cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.researcheridD-9391-2018cs
dc.identifier.researcheridK-4698-2015cs
dc.identifier.scopus6701633618cs
dc.identifier.scopus6506293406cs
dc.identifier.scopus9434706000cs
dc.identifier.urihttp://hdl.handle.net/11012/203988
dc.language.isoencs
dc.publisherDe Gruytercs
dc.relation.ispartofAdvances in Nonlinear Analysiscs
dc.relation.urihttps://www.degruyter.com/document/doi/10.1515/anona-2021-0216/htmlcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2191-950X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectAbsolute stabilityen
dc.subjectexponential stabilityen
dc.subjectneutral differential systemen
dc.subjectLurie type nonlinearityen
dc.titleAbsolute Stability of Neutral Systems with Lurie Type Nonlinearityen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-175471en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:50:43en
sync.item.modts2025.01.17 15:17:31en
thesis.grantorVysoké učení technické v Brně. Středoevropský technologický institut VUT. Kybernetika a robotikacs
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