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Uniform Stability of Discrete Delay Systems and Synchronization of Discrete Delay Dynamical Networks via Razumikhin Technique

Liu, Bin; Marquez, Horacio

Description

In this paper, we consider discrete delay systems and obtain conditions for global uniform exponential stability. Our approach is based on the use of the Razumikhin technique and the Lyapunov function method. In the second part of the paper, we use our stability results to derive exponential synchronization criteria for discrete dynamical networks with coupling time delays. We explicitly consider the case of networks with complex structures, such as networks with chaotic nodes, which have great...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
URI: http://hdl.handle.net/1885/31335
Source: IEEE Transactions on Circuits and Systems Part I: Regular Papers
DOI: 10.1109/TCSI.2008.923163

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