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Integral Sliding Mode Exponential Synchronization of Inertial Memristive Neural Networks with Time Varying Delays

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Abstract

In this article, the exponential synchronization issue for inertial memristive neural networks (IMNNs) with time varying delays is addressed. A new synchronous lemma, Lemma 1, has been obtained through some inequality techniques. Also, inspired by sliding mode control method, a new integral sliding mode control law with mode-dependent integral terms is designed to solve the IMNNs synchronization problem. By using these new lemma and integral sliding mode controller, two theorems of exponential synchronization are proposed and some novel synchronization criteria are given. Finally, numerical examples corresponding to Theorems 1 and 2 respectively are given to show the validity, and the merit of the proposed controller is provided.

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Funding

This work was supported in partial by the Natural Science Foundation of Shaanxi Province(2020JM-256), Technology Innovation Leading Program of Shaanxi(No.2020QFY03-01) and in part by in part by the Technology Program of Weinan (No. ZDYF-GYCX-81).

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  1. Jiefei Yan contributed equally to this work.

Authors and Affiliations

  1. School of Electronic and Control, Chang’an University, Xi’an, 710064, ShaanXi, China

    Meng Hui & Jiefei Yan

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  1. Meng Hui
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Correspondence to Jiefei Yan.

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Hui, M., Yan, J. Integral Sliding Mode Exponential Synchronization of Inertial Memristive Neural Networks with Time Varying Delays. Neural Process Lett 55, 2725–2742 (2023). https://doi.org/10.1007/s11063-022-10981-9

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