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.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.issn1026-0226cs
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/1026-0226/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectexponential stabilityen
dc.subjectexponential estimateen
dc.subjectdiscrete systemen
dc.subjectLyapunov methoden
dc.subjectexponential stability
dc.subjectexponential estimate
dc.subjectdiscrete system
dc.subjectLyapunov method
dc.titleExponential Stability of Linear Discrete Systems with Multiple Delaysen
dc.title.alternativeExponential 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.insts2025.10.14 15:17:51en
sync.item.modts2025.10.14 10:05:13en
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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