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

Liu, Bin; Hill, David


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]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Systems and Control Letters
DOI: 10.1016/j.sysconle.2009.03.008


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