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Fixed-Time Synchronization of Complex-Valued Memristor-Based Neural Networks with Impulsive Effects

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Abstract

In this paper, the fixed-time synchronization of complex-valued memristor-based neural networks with impulsive effects is investigated. We first separate these complex-valued networks into real and imaginary parts, and design the appropriate controllers. Then apply the set-valued map and the differential inclusion theorem to handle the discontinuity problems at the right-hand side of the drive-response systems. By constructing the comparison systems together with the Lyapunov function, we get the fixed-time synchronization conditions. Moreover, the estimate of the settling time is also explicitly obtained. Finally, two examples and their numerical simulations are presented to show the effectiveness of the obtained theoretical results.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (Nos. 11771197 and 11971317), Subsidized Project for Postgraduates’ Innovative Fund in Scientific Research of Huaqiao University, the Natural Science Foundation of Fujian Province of China (No. 2019J01064) and the Scientific Research Funds of Huaqiao University.

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  1. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China

    Yanlin Zhang & Shengfu Deng

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  1. Yanlin Zhang
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Correspondence to Shengfu Deng.

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Zhang, Y., Deng, S. Fixed-Time Synchronization of Complex-Valued Memristor-Based Neural Networks with Impulsive Effects. Neural Process Lett 52, 1263–1290 (2020). https://doi.org/10.1007/s11063-020-10304-w

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