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

Liu, Bin; Hill, David

Description

This 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...[Show more]

dc.contributor.authorLiu, Bin
dc.contributor.authorHill, David
dc.date.accessioned2015-12-10T22:30:58Z
dc.identifier.issn0167-6911
dc.identifier.urihttp://hdl.handle.net/1885/55329
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.
dc.publisherElsevier
dc.sourceSystems and Control Letters
dc.subjectKeywords: Convergence speed; Discrete systems; Discrete time-delay system; Input-to-state stability; Input-to-state stability (ISS); Razumikhin technique; Razumikhin-type; Razumikhin-type ISS theorem; Continuous time systems; Delay control systems; Differential equ Discrete time-delay system; Input-to-state stability (ISS); Razumikhin-type ISS theorem
dc.titleInput-to state stability for discrete time-delay systems via the Razumikhin technique
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume58
dc.date.issued2009
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationu4334215xPUB325
local.type.statusPublished Version
local.contributor.affiliationLiu, Bin, College of Engineering and Computer Science, ANU
local.contributor.affiliationHill, David, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage567
local.bibliographicCitation.lastpage575
local.identifier.doi10.1016/j.sysconle.2009.03.008
dc.date.updated2016-02-24T10:59:56Z
local.identifier.scopusID2-s2.0-67349165376
CollectionsANU Research Publications

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