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Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks with time delays

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Abstract

This paper is devoted to the study of Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks (DFQNNs) with time delays. First, a new inequality is established by using the definition and operational principles of quaternion sign function. Next, in order to achieve Lagrange synchronization, a state feedback controller is designed. And then, some criteria are derived to guarantee Lagrange synchronization of nonidentical DFQNNs by employing Lyapunov method and fractional difference theory as well as quaternion properties. Finally, the validity and feasibility of the theoretical results are verified by numerical simulations.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 12262035, 12261087), the Innovation Project of Excellent Doctoral Students of Xinjiang University, China (Grant No. XJU2024BS035), the Postgraduate Research and Innovation Program of Xinjiang, China (Grant No. XJ2024G018).

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830017, China

    Mingfang Zhao, Hong-Li Li, Juanping Yang & Long Zhang

  2. Mathematics Group, Chengxian No.1 Middle School, Chengxian, 742500, China

    Mingfang Zhao

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  1. Mingfang Zhao
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  2. Hong-Li Li
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  3. Juanping Yang
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  4. Long Zhang
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Correspondence to Hong-Li Li.

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Zhao, M., Li, HL., Yang, J. et al. Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks with time delays. Comp. Appl. Math. 43, 393 (2024). https://doi.org/10.1007/s40314-024-02904-2

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  • DOI: https://doi.org/10.1007/s40314-024-02904-2

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