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Global exponential synchronization via nonlinear feedback control for delayed inertial memristor-based quaternion-valued neural networks with impulses

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  • Lin, Dongyuan
  • Chen, Xiaofeng
  • Yu, Guoping
  • Li, Zhongshan
  • Xia, Yannan

Abstract

The issue of global exponential synchronization is addressed for delayed impulsive and time-varying delayed inertial memristor-based quaternion-valued neural networks (IMQVNNs). First, the concept of the Filippov solution for IMQVNNs is introduced by applying differential inclusion theory. Then, a nonlinear feedback controller is designed in the skew field of quaternions to ensure the realization of global exponential synchronization for IMQVNNs. According to this controller, the global exponential synchronization criteria are established based on the Lyapunov stability theory. Moreover, a corollary for the real-valued system is given to compare with the existing conclusions. Finally, two examples are presented to show the validity of the results.

Suggested Citation

  • Lin, Dongyuan & Chen, Xiaofeng & Yu, Guoping & Li, Zhongshan & Xia, Yannan, 2021. "Global exponential synchronization via nonlinear feedback control for delayed inertial memristor-based quaternion-valued neural networks with impulses," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    • Handle: RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001417
    DOI: 10.1016/j.amc.2021.126093
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    Cited by:

    1. Chen, Yuan & Wu, Jianwei & Bao, Haibo, 2022. "Finite-time stabilization for delayed quaternion-valued coupled neural networks with saturated impulse," Applied Mathematics and Computation, Elsevier, vol. 425(C).
    2. Zhang, Guodong & Cao, Jinde, 2023. "New results on fixed/predefined-time synchronization of delayed fuzzy inertial discontinuous neural networks: Non-reduced order approach," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    3. Xiong, Kailong & Hu, Cheng & Yu, Juan, 2023. "Direct approach-based synchronization of fully quaternion-valued neural networks with inertial term and time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    4. Baluni, Sapna & Sehgal, Ishani & Yadav, Vijay K. & Das, Subir, 2024. "Exponential synchronization of a class of quaternion-valued neural network with time-varying delays: A Matrix Measure Approach," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    5. Zhao, Ningning & Qiao, Yuanhua, 2024. "Stability analysis of Clifford-valued memristor-based neural networks with impulsive disturbances and its application to image encryption," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    6. Wang, Shaofu, 2023. "A novel memristive chaotic system and its adaptive sliding mode synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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