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        Robust Multimode Function Synchronization of Memristive Neural Networks with Parameter Perturbations and Time-Varying Delays

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        Author
        Yao, Wei
        Wang, Chunhua
        Sun, Yichuang
        Zhou, Chao
        Attention
        2299/22860
        Abstract
        Currently, some works on studying complete synchronization of dynamical systems are usually restricted to its two special cases: 1) power-rate synchronization and 2) exponential synchronization. Therefore, how to give a generalization of these types of complete synchronization by the mathematical expression is an open question that needs to be urgently solved. To begin with, this article proposes multimode function synchronization by the mathematical expression for the first time, which is a generalization of exponential synchronization, power-rate synchronization, logarithmical synchronization, and so on. Moreover, two adaptive controllers are designed to achieve robust multimode function synchronization of memristive neural networks (MNNs) with mismatched parameters and uncertain parameters. Each adaptive controller includes function r(t) and update gain σ. By choosing different types of r(t), multiple types of complete synchronization, including power-rate synchronization and exponential synchronization can be obtained. And update gain σ can be used to adjust the speed of synchronization. Therefore, our results enlarge and strengthen the existing results. Two examples are put forward to verify the validity of our results.
        Publication date
        2020-06-10
        Published in
        IEEE Transactions on Systems, Man, and Cybernetics: Systems
        Published version
        https://doi.org/10.1109/TSMC.2020.2997930
        License
        Unspecified
        Other links
        http://hdl.handle.net/2299/22860
        Relations
        School of Physics, Engineering & Computer Science
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