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Synchronization of complex-valued multi-layer coupled systems by asynchronous intermittent event-triggered mechanisms

Author

Listed:
  • Ren, Yue
  • Jiang, Haijun
  • Hu, Cheng
  • Chen, Shanshan

Abstract

This study sets out to solve the synchronization problem of complex-valued multi-layer coupled systems (CVMLCSs) under two asynchronous intermittent event-triggered mechanisms (IETMs). Unlike the existing works on IETM, two kinds of novel IETMs including static IETM and dynamic IETM are developed, where the asynchronous nature is mainly reflected in the fact that each node in each layer possesses its own control and rest intervals. Remarkably, under two control schemes, the choice of control time sequence is based on corresponding event-triggered condition rather than being preset artificially. Moreover, by utilizing graph theory and Lyapunov approach, two synchronization conditions for CVMLCSs are given, respectively. In the end, as an application, a complex-valued multi-layer neural network model is established and some numerical examples are provided to validate the feasibility of the theoretical results.

Suggested Citation

  • Ren, Yue & Jiang, Haijun & Hu, Cheng & Chen, Shanshan, 2024. "Synchronization of complex-valued multi-layer coupled systems by asynchronous intermittent event-triggered mechanisms," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    • Handle: RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002510
    DOI: 10.1016/j.amc.2024.128787
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    References listed on IDEAS

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    1. Guo, Beibei & Xiao, Yu, 2023. "Intermittent synchronization for multi-link and multi-delayed large-scale systems with semi-Markov jump and its application of Chua’s circuits," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Aihua Hu & Jinde Cao, 2017. "Consensus of multi-agent systems via intermittent event-triggered control," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 280-287, January.
    3. Liu, Yan & Wang, Junpu, 2021. "Synchronization of coupled systems via intermittent event-triggered control: Quaternion case," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    4. Li, Zhitao & Tang, Jinjun & Zhao, Chuyun & Gao, Fan, 2023. "Improved centrality measure based on the adapted PageRank algorithm for urban transportation multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    5. Ren, Yue & Jiang, Haijun & Hu, Cheng & Li, Xinman & Qin, Xuejiao, 2023. "Discontinuous control for exponential synchronization of complex-valued stochastic multi-layer networks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. Yang, Ni & Gao, Ruiyi & Su, Huan, 2022. "Stability of multi-links complex-valued impulsive stochastic systems with Markovian switching and multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
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    1. Zhao, Tingting & Zhou, Yu & Qi, Yiwen & Huang, Jie, 2025. "Complete synchronization in predetermined/fixed-time for multilayered networks under edge-based discontinuous control," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).

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