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Intermittent Control Based Exponential Synchronization of Inertial Neural Networks with Mixed Delays

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Abstract

This article is devoted to the synchronization of delayed inertial neural systems by virtue of intermittent control scheme. In the proposed inertial models, a type of mixed delays is introduced which is composed of discrete delays and infinite distributed delays. Particulary, the finite distributed delays can be easily obtained by selecting specific kernel functions in infinite distribute delays. To realize exponential synchronization, different from the previous continuous designs for the first-order systems obtained by suitable substitutions of reduced-order, an intermittent control scheme is directly developed for the response inertial systems. Furthermore, a direct analysis method is proposed to derive the synchronization conditions by constructing a Lyapunov functional formed by the state variables and their derivatives. Lastly, the designed control scheme and established criteria are verified via providing a numerical example.

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Acknowledgements

This work was supported partially by National Natural Science Foundation of China (Grant No. 61866036), partially by the Key Project of Natural Science Foundation of Xinjiang (2021D01D10), partially by Tianshan Youth Program (Grant No. 2018Q001) and partially by Tianshan Innovation Team Program (Grant No. 2020D14017).

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  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China

    Jiaojiao Hui, Cheng Hu, Juan Yu & Haijun Jiang

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  1. Jiaojiao Hui
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  2. Cheng Hu
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  3. Juan Yu
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  4. Haijun Jiang
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Correspondence to Juan Yu.

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Hui, J., Hu, C., Yu, J. et al. Intermittent Control Based Exponential Synchronization of Inertial Neural Networks with Mixed Delays. Neural Process Lett 53, 3965–3979 (2021). https://doi.org/10.1007/s11063-021-10574-y

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