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New criteria of finite time synchronization of fractional-order quaternion-valued neural networks with time delay

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  • Shang, Weiying
  • Zhang, Weiwei
  • Chen, Dingyuan
  • Cao, Jinde

Abstract

In this paper, to simulate some situations in the real world, a class issue of finite-time synchronization (FTS) about fractional-order quaternion-valued neural networks (FOQVNNs) with time delay is discussed. Firstly, there is no need to divide the QVNNs into several subsystems, some new lemmas related to the sign function of quaternion-valued are established in the quaternion domain. Secondly, based on the proposed sign function framework, a concise and effective controller is directly designed and FTS criteria are derived by constructing the Lyapunov function. Moreover, two settling times of synchronization are effectively estimated. Finally, some examples are shown to testify the correctness of the presented theoretical results.

Suggested Citation

  • Shang, Weiying & Zhang, Weiwei & Chen, Dingyuan & Cao, Jinde, 2023. "New criteria of finite time synchronization of fractional-order quaternion-valued neural networks with time delay," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    • Handle: RePEc:eee:apmaco:v:436:y:2023:i:c:s0096300322005586
    DOI: 10.1016/j.amc.2022.127484
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    References listed on IDEAS

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    5. Xu, Changjin & Liu, Zixin & Liao, Maoxin & Li, Peiluan & Xiao, Qimei & Yuan, Shuai, 2021. "Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 471-494.
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    1. Hongguang Fan & Yue Rao & Kaibo Shi & Hui Wen, 2023. "Global Synchronization of Fractional-Order Multi-Delay Coupled Neural Networks with Multi-Link Complicated Structures via Hybrid Impulsive Control," Mathematics, MDPI, vol. 11(14), pages 1-17, July.
    2. Li, Xuemei & Liu, Xinge & Wang, Fengxian, 2023. "Anti-synchronization of fractional-order complex-valued neural networks with a leakage delay and time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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