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Quantization synchronization of chaotic neural networks with time delay under event-triggered strategy

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Abstract

This paper shows solicitude for the quantization synchronization of delayed chaotic master and slave neural networks under an dynamic event-triggered strategy. In virtue of a generalized Halanay-type inequality, a theoretical criterion for quasi-synchronization of master and slave neural networks is derived. Meanwhile, we can obtain an exact upper bound of synchronization error by using this criterion. Compared with output feedback controller with event triggering and quantization, the case where the controller only affected by quantization is also considered. Then, we exclude the Zeno behavior of the event-triggered controller. A sufficient criterion for the existence of the quantized output feedback controllers is also provided. A numerical example is cited to illustrate the efficiency of our theoretical criteria. In addition, some experiments of secure image communication are conducted under quasi-synchronization of master and slave neural networks.

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Acknowledgements

This work is supported by the Natural Science Foundation of China under Grants 61976084 and 61773152.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China

    Ailong Wu & Yue Chen

  2. School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, 430074, China

    Ailong Wu & Zhigang Zeng

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  1. Ailong Wu
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  2. Yue Chen
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  3. Zhigang Zeng
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Correspondence to Ailong Wu.

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Wu, A., Chen, Y. & Zeng, Z. Quantization synchronization of chaotic neural networks with time delay under event-triggered strategy. Cogn Neurodyn 15, 897–914 (2021). https://doi.org/10.1007/s11571-021-09667-0

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  • DOI: https://doi.org/10.1007/s11571-021-09667-0

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