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Finite-Time Synchronization and Exponential lag synchronization of quaternion-valued inertial fuzzy Cohen–Grossberg neural networks with impulsives and mixed delays

Author

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  • Abdelaziz, Meryem
  • Chérif, Farouk

Abstract

In this paper, some sufficient conditions are given in order to establish the finite time synchronization and the exponential lag synchronization of quaternion-valued inertial fuzzy Cohen-Grossberg neural networks (QVIFCGNNs). Hence, by creating a suitable Lyapunov functionals, Hamilton rules and applying inequality techniques, various types of synchronization are established for the considered model taking in account the various delays, the impulsive, and the fuzzy terms. Also a comparative study with other recent works is given. Finally, we illustrate the validity of the obtained results by a numerical example.

Suggested Citation

  • Abdelaziz, Meryem & Chérif, Farouk, 2024. "Finite-Time Synchronization and Exponential lag synchronization of quaternion-valued inertial fuzzy Cohen–Grossberg neural networks with impulsives and mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000717
    DOI: 10.1016/j.chaos.2024.114520
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    References listed on IDEAS

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    1. Arjunan, Mani Mallika & Abdeljawad, Thabet & Anbalagan, Pratap, 2022. "Impulsive effects on fractional order time delayed gene regulatory networks: Asymptotic stability analysis," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Abdelaziz, Meryem & Chérif, Farouk, 2020. "Piecewise asymptotic almost periodic solutions for impulsive fuzzy Cohen–Grossberg neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    3. Lin, Xiangze & Li, Shihua & Zou, Yun, 2017. "Finite-time stabilization of switched linear time-delay systems with saturating actuators," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 66-79.
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