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Article: Input-to-state stability for discrete time-delay systems via the Razumikhin technique

TitleInput-to-state stability for discrete time-delay systems via the Razumikhin technique
Authors
Liu, BHill, DJ
KeywordsDiscrete Time-Delay System
Input-To-State Stability (Iss)
Razumikhin-Type Iss Theorem
Issue Date2009
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2009, v. 58 n. 8, p. 567-575 How to Cite?
DOI: http://dx.doi.org/10.1016/j.sysconle.2009.03.008
AbstractThis paper aims to study the problem of input-to-state stability (ISS) for discrete time-delay systems. By employing the Razumikhin technique and suitable Lyapunov functions, backward and forward Razumikhin-type ISS theorems, that guarantee the global ISS, global asymptotic ISS and global exponential ISS for general discrete time-delay systems are established. Moreover, Razumikhin-type global exponential ISS theorems give the estimation of the convergence speed. As an application, the Razumikhin-type exponential ISS result is used to derive exponential ISS criteria for a class of interconnected discrete systems with coupling time-delays and disturbance inputs. Finally, examples are given to illustrate the results. © 2009 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/169718
ISSN
0167-6911
2021 Impact Factor: 2.742
2020 SCImago Journal Rankings: 1.289
ISI Accession Number ID
WOS:000267446600004
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLiu, Ben_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:54:22Z-
dc.date.available2012-10-25T04:54:22Z-
dc.date.issued2009en_US
dc.identifier.citationSystems And Control Letters, 2009, v. 58 n. 8, p. 567-575en_US
dc.identifier.issn0167-6911en_US
dc.identifier.urihttp://hdl.handle.net/10722/169718-
dc.description.abstractThis paper aims to study the problem of input-to-state stability (ISS) for discrete time-delay systems. By employing the Razumikhin technique and suitable Lyapunov functions, backward and forward Razumikhin-type ISS theorems, that guarantee the global ISS, global asymptotic ISS and global exponential ISS for general discrete time-delay systems are established. Moreover, Razumikhin-type global exponential ISS theorems give the estimation of the convergence speed. As an application, the Razumikhin-type exponential ISS result is used to derive exponential ISS criteria for a class of interconnected discrete systems with coupling time-delays and disturbance inputs. Finally, examples are given to illustrate the results. © 2009 Elsevier B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconleen_US
dc.relation.ispartofSystems and Control Lettersen_US
dc.subjectDiscrete Time-Delay Systemen_US
dc.subjectInput-To-State Stability (Iss)en_US
dc.subjectRazumikhin-Type Iss Theoremen_US
dc.titleInput-to-state stability for discrete time-delay systems via the Razumikhin techniqueen_US
dc.typeArticleen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.sysconle.2009.03.008en_US
dc.identifier.scopuseid_2-s2.0-67349165376en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67349165376&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume58en_US
dc.identifier.issue8en_US
dc.identifier.spage567en_US
dc.identifier.epage575en_US
dc.identifier.isiWOS:000267446600004-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridLiu, B=36079151900en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US
dc.identifier.citeulike5346696-
dc.identifier.issnl0167-6911-

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