Exponential Stability of Linear Discrete Systems with Multiple Delays

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dc.contributor.authorBaštinec, Jaromírcs
dc.contributor.authorDemchenko, Hannacs
dc.contributor.authorDiblík, Josefcs
dc.contributor.authorKhusainov, Denyscs
dc.coverage.issue2018cs
dc.coverage.volume2018cs
dc.date.issued2018-08-01cs
dc.description.abstractThe paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay $x\left( {k+1} \right)=Ax\left( k \right)+\sum_{i=1}^sB_ix\left( {k-m_i} \right)$, $k=0,1,\dots$ where $s\in \mathbb{N}$, $A$ and $B_i$ are square matrices and $m_i\in\mathbb{N}$. New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed.en
dc.formattextcs
dc.format.extent1-7cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationDiscrete Dynamics in Nature and Society. 2018, vol. 2018, issue 2018, p. 1-7.en
dc.identifier.doi10.1155/2018/9703919cs
dc.identifier.issn1607-887Xcs
dc.identifier.orcid0000-0002-6228-3857cs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.other149025cs
dc.identifier.researcheridD-9391-2018cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.scopus6506293406cs
dc.identifier.scopus6701633618cs
dc.identifier.urihttp://hdl.handle.net/11012/193263
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofDiscrete Dynamics in Nature and Societycs
dc.relation.urihttp://dx.doi.org/10.1155/2018/9703919cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1607-887X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectexponential stabilityen
dc.subjectexponential estimateen
dc.subjectdiscrete systemen
dc.subjectLyapunov methoden
dc.titleExponential Stability of Linear Discrete Systems with Multiple Delaysen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-149025en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:40:46en
sync.item.modts2025.01.17 16:33:56en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
thesis.grantorVysoké učení technické v Brně. Středoevropský technologický institut VUT. Kybernetika pro materiálové vědycs
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