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Hybrid Impulsive Control Based Synchronization of Leakage and Multiple Delayed Fractional-Order Neural Networks with Parameter Mismatch

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Abstract

This paper studies synchronization problems for a kind of parameter mismatched fractional-order neural networks with leakage terms and multiple delays by utilizing a novel hybrid impulsive control mechanism. The hybrid controller combines time-triggered and event-triggered, and switching updates can be described by the behavior between positive auxiliary function and preset exponentially decreasing function. The impulsive controlled neural networks can be translated to the impulsive differential fractional-order systems by using fractional-order calculus and Laplace transform method. Some lemmas are derived for fractional-order inequality with time delays, which together with the hybrid controller are employed to establish some sufficient quasi-synchronization criteria. And the event-triggered mechanism is proved to have no Zeno behavior. Some numerical simulations are showed to illustrate the effectiveness of the results.

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Acknowledgements

This work was financially supported by the Natural Science Foundation of Sichuan Province (No. 2023NSFSC1362),(No. 2023NSFSC0071), the Foundation of Chengdu University of Information Technology(No. KYTZ2022148), the National Natural Science Foundation of China (No. 12101090).

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Authors and Affiliations

  1. School of Applied Mathematics, Chengdu University of Information Technology, No. 24, Section 1, Xuefu Road, Southwest Airport Economic Development Zone, Chengdu, 610225, China

    Xueqi Yao & Yuanhua Du

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, 2006 Xiyuan Avenue, Gaoxin West District, Chengdu, 611731, China

    Shouming Zhong

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  1. Xueqi Yao
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Correspondence to Yuanhua Du.

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Yao, X., Zhong, S. & Du, Y. Hybrid Impulsive Control Based Synchronization of Leakage and Multiple Delayed Fractional-Order Neural Networks with Parameter Mismatch. Neural Process Lett 55, 11371–11395 (2023). https://doi.org/10.1007/s11063-023-11380-4

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