Xingxing You, S. Dian, Kai Liu, Guofei Xiang, Bin Guo, Haipeng Wang, Xu Zhang
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LMI-Based Criterion for Global Mittag-Leffler Synchronization of Discrete-time Fractional-Order Complex-Valued Neural Networks with Time Delay
In this paper, the global Mittag-Leffler synchronization of discrete-time fractional-order complex-valued neural networks with time delay is investigated. First of all, a new lemma for Caputo fractional difference is derived in complex field. Then, by constructing appropriate Lyapunov function and designing a novel complex-valued linear feedback controller, the LMI-based sufficient criterion is provided to ensure the global Mittag-Leffler synchronization of proposed networks. A simulation example is given to show the effectiveness of the control scheme.
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