Exponential stability of linear discrete systems with variable delays via Lyapunov Second method

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dc.contributor.authorDiblík, Josefcs
dc.coverage.issue1cs
dc.coverage.volume2017cs
dc.date.issued2017-11-24cs
dc.description.abstractThe paper investigates the exponential stability of a linear system of difference equations with variable delays. New criteria for exponential stability are derived using the method of Lyapunov functions and formulated in terms of the norms of matrices of linear terms and matrices solving an auxiliary Lyapunov equation. An exponential-type estimate of the norm of solutions is given as well. The efficiency of the derived criteria is numerically demonstrated by examples and their relations to the well-known results are discussed.en
dc.description.abstractThe paper investigates the exponential stability of a linear system of difference equations with variable delays. New criteria for exponential stability are derived using the method of Lyapunov functions and formulated in terms of the norms of matrices of linear terms and matrices solving an auxiliary Lyapunov equation. An exponential-type estimate of the norm of solutions is given as well. The efficiency of the derived criteria is numerically demonstrated by examples and their relations to the well-known results are discussed.en
dc.formattextcs
dc.format.extent1-9cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationDISCRETE DYNAMICS IN NATURE AND SOCIETY. 2017, vol. 2017, issue 1, p. 1-9.en
dc.identifier.doi10.1155/2017/7417909cs
dc.identifier.issn1026-0226cs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.other141742cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.scopus6701633618cs
dc.identifier.urihttp://hdl.handle.net/11012/193107
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofDISCRETE DYNAMICS IN NATURE AND SOCIETYcs
dc.relation.urihttps://www.hindawi.com/journals/ddns/2017/7417909/cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1026-0226/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectlinear discrete systeme; exponential stabilityen
dc.subjectLyapunov functionen
dc.subjectlinear discrete systeme; exponential stability
dc.subjectLyapunov function
dc.titleExponential stability of linear discrete systems with variable delays via Lyapunov Second methoden
dc.title.alternativeExponential stability of linear discrete systems with variable delays via Lyapunov Second methoden
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-141742en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 15:17:51en
sync.item.modts2025.10.14 09:35:20en
thesis.grantorVysoké učení technické v Brně. Středoevropský technologický institut VUT. Kybernetika pro materiálové vědycs

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