Exponential stability of perturbed linear discrete systems

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dc.contributor.authorDiblík, Josefcs
dc.contributor.authorKhusainov, Denyscs
dc.contributor.authorBaštinec, Jaromírcs
dc.contributor.authorSirenko, Andriics
dc.coverage.issue2cs
dc.coverage.volume2016cs
dc.date.issued2016-01-29cs
dc.description.abstractThe paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of Lyapunov. We consider non-delayed systems as well as systems with a single delay. Simultaneously, explicit exponential estimates of the solutions are derived. The results are illustrated by examples.en
dc.description.abstractThe paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of Lyapunov. We consider non-delayed systems as well as systems with a single delay. Simultaneously, explicit exponential estimates of the solutions are derived. The results are illustrated by examples.en
dc.formattextcs
dc.format.extent1-20cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAdvances in Difference Equations. 2016, vol. 2016, issue 2, p. 1-20.en
dc.identifier.doi10.1186/s13662-015-0738-6cs
dc.identifier.issn1687-1847cs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.orcid0000-0002-6228-3857cs
dc.identifier.other128507cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.researcheridD-9391-2018cs
dc.identifier.scopus6701633618cs
dc.identifier.scopus6506293406cs
dc.identifier.urihttp://hdl.handle.net/11012/137376
dc.language.isoencs
dc.publisherSpringercs
dc.relation.ispartofAdvances in Difference Equationscs
dc.relation.urihttp://www.advancesindifferenceequations.com/content/2016/1/2cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1687-1847/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectexponential stabilityen
dc.subjectLyapunov functionen
dc.subjectdelayen
dc.subjectexponential stability
dc.subjectLyapunov function
dc.subjectdelay
dc.titleExponential stability of perturbed linear discrete systemsen
dc.title.alternativeExponential stability of perturbed linear discrete systemsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-128507en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:15:42en
sync.item.modts2025.10.14 09:33:16en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometriecs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Matematika AdMaScs

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