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Fixed-time stabilization of discontinuous spatiotemporal neural networks with time-varying coefficients via aperiodically switching control

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Abstract

This paper focuses on the challenge of fixed-time control for spatiotemporal neural networks (SNNs) with discontinuous activations and time-varying coefficients. A novel fixed-time convergence lemma is proposed, which facilitates the handling of time-varying coefficients of SNNs and relaxes the restriction on the non-positive definiteness of the derivative of the Lyapunov function. Besides, a more flexible and economical aperiodically switching control technique is presented to stabilize SNNs within a fixed time, effectively reducing the amount of information transmission and control costs. Under the newly established fixed-time convergence lemma and aperiodically switching controller, many more general algebraic conditions are deduced to ensure the fixed-time stabilization of SNNs. Numerical examples are provided to manifest the validity of the results.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 62076229).

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Authors and Affiliations

  1. School of Automation, China University of Geosciences, Wuhan, 430074, China

    Xiaofang Hu, Leimin Wang, Chuan-Ke Zhang, Xiongbo Wan & Yong He

  2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan, 430074, China

    Xiaofang Hu, Leimin Wang, Chuan-Ke Zhang, Xiongbo Wan & Yong He

  3. Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, Wuhan, 430074, China

    Xiaofang Hu, Leimin Wang, Chuan-Ke Zhang, Xiongbo Wan & Yong He

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  1. Xiaofang Hu
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  2. Leimin Wang
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  3. Chuan-Ke Zhang
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  4. Xiongbo Wan
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Correspondence to Leimin Wang.

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Hu, X., Wang, L., Zhang, CK. et al. Fixed-time stabilization of discontinuous spatiotemporal neural networks with time-varying coefficients via aperiodically switching control. Sci. China Inf. Sci. 66, 152204 (2023). https://doi.org/10.1007/s11432-022-3633-9

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  • DOI: https://doi.org/10.1007/s11432-022-3633-9

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