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Intermittent Control for Synchronization of Markov Jump Inertial Neural Networks with Reaction–Diffusion Terms via Non-reduced-Order Method

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Abstract

This paper concentrates on designing an aperiodically intermittent controller for synchronization of Markov jump inertial neural networks (MJINNs) with reaction–diffusion terms. Unlike the traditional reduced-order variable substitution method, the synchronization for MJINNs is studied directly using a non-reduced-order method. Besides, an aperiodic intermittent controller with spatially sampled data, which is intermittent in time and sampled data in space, is constructed under the consideration of the limited communication bandwidth. Furthermore, based on the Lyapunov direct method and several inequality techniques, the synchronization criteria of MJINNs under the proposed controller are derived. Finally, the proposed approach’s effectiveness is illustrated by using a numerical example.

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Authors and Affiliations

  1. School of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, China

    Dongxiao Hu, Xiaona Song, Xingru Li & Jianwei Ma

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  1. Dongxiao Hu
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  2. Xiaona Song
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Correspondence to Xiaona Song.

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Hu, D., Song, X., Li, X. et al. Intermittent Control for Synchronization of Markov Jump Inertial Neural Networks with Reaction–Diffusion Terms via Non-reduced-Order Method. Circuits Syst Signal Process 42, 199–215 (2023). https://doi.org/10.1007/s00034-022-02132-1

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