Input-to state stability for discrete time-delay systems via the Razumikhin technique
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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.author | Liu, Bin | |
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dc.contributor.author | Hill, David | |
dc.date.accessioned | 2015-12-10T22:30:58Z | |
dc.identifier.issn | 0167-6911 | |
dc.identifier.uri | http://hdl.handle.net/1885/55329 | |
dc.description.abstract | 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 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.publisher | Elsevier | |
dc.source | Systems and Control Letters | |
dc.subject | Keywords: 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.title | Input-to state stability for discrete time-delay systems via the Razumikhin technique | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 58 | |
dc.date.issued | 2009 | |
local.identifier.absfor | 010203 - Calculus of Variations, Systems Theory and Control Theory | |
local.identifier.ariespublication | u4334215xPUB325 | |
local.type.status | Published Version | |
local.contributor.affiliation | Liu, Bin, College of Engineering and Computer Science, ANU | |
local.contributor.affiliation | Hill, David, College of Engineering and Computer Science, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.startpage | 567 | |
local.bibliographicCitation.lastpage | 575 | |
local.identifier.doi | 10.1016/j.sysconle.2009.03.008 | |
dc.date.updated | 2016-02-24T10:59:56Z | |
local.identifier.scopusID | 2-s2.0-67349165376 | |
Collections | ANU Research Publications |
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