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Finite/Fixed-Time Synchronization of Delayed Inertial Memristive Neural Networks with Discontinuous Activations and Disturbances

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Abstract

This paper considers the finite-time and fixed-time synchronization problems for the delayed inertial memristive neural networks (DIMNNs) with disturbances. Different from the existing researches, the activation functions of the investigated models are permitted to be discontinuous. In light of the Filippov solution theory and Lyapunov stability theory, a unified control strategy is designed to achieve both the goals of finite-time and fixed-time synchronization for the DIMNNs. Furthermore, some finite or fixed settling times can be expressed with different control parameters. Finally, the effectiveness of the theoretical results is illustrated by some numerical simulations, and the relationships among disturbances, controllers, and dwell time are revealed as well.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grants Nos. 61773185, 61573096, and in part by Qing Lan Project.

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Authors and Affiliations

  1. Research Center for Complex Networks & Swarm Intelligence, School of Computer Science & Technology, Jiangsu Normal University, Xuzhou, 221116, China

    Haibin He, Xiaoyang Liu & Nan Jiang

  2. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

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  1. Haibin He
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  2. Xiaoyang Liu
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  3. Jinde Cao
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  4. Nan Jiang
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Correspondence to Xiaoyang Liu.

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He, H., Liu, X., Cao, J. et al. Finite/Fixed-Time Synchronization of Delayed Inertial Memristive Neural Networks with Discontinuous Activations and Disturbances. Neural Process Lett 53, 3525–3544 (2021). https://doi.org/10.1007/s11063-021-10552-4

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