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Quasi-Synchronization of Delayed Chaotic Memristive Neural Networks

关键字:Synchronization;Continuous time systems - Linear matrix inequalities - Lyapunov functions - Memristors - Neural networks - Time delay - Time varying control systems - Uncertainty analysis;Biological neural networks - Delays - Symmetric matrices - uncertainty - ormalsize Memristive neural networks (MNNs)

摘要:We study the problem of master-slave synchronization of two delayed memristive neural networks (MNNs). Different from most previous papers, memristors are regarded as uncertain continuous time-varying parameters, and MNNs are modeled by neural networks (NNs) with continuous time-varying parameters and polytopic uncertainty. Thus, synchronization of two delayed MNNs is converted into synchronization of delayed NNs with uncertain parameter mismatches. Quasi-synchronization criteria are derived by Lyapunov function and inequality technique. It is shown that, given a predetermined error bound, quasi-synchronization of two delayed chaotic MNNs can be achieved provided that the pinning strength is larger than a threshold. In the end, a numerical example is provided to illustrate the effectiveness of the derived results. IEEE

卷号:49

期号:2

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