Robust Synchronization Criterion for Coupled Stochastic Discrete‐Time Neural Networks with Interval Time‐Varying Delays, Leakage Delay, and Parameter Uncertainties

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee and E. J. Cha

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The purpose of this paper is to investigate a delay‐dependent robust synchronization analysis for coupled stochastic discrete‐time neural networks with interval time‐varying delays in networks coupling, a time delay in leakage term, and parameter uncertainties. Based on the Lyapunov method, a new delay‐dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov‐Krasovskii’s functional and utilizing Finsler’s lemma without free‐weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

Date: 2013
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https://doi.org/10.1155/2013/814692

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:814692

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