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Synchronization of coupled systems via intermittent event-triggered control: Quaternion case

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  • Liu, Yan
  • Wang, Junpu

Abstract

This paper is concerned with the synchronization problem of quaternion-valued coupled systems. It is worth mentioning that it is the first time that intermittent event-triggered control is used to study quaternion-valued coupled systems, which coupled strength is also quaternion-valued. At first, it can be proved that event-triggered control can exclude Zeno behavior. Then, on the basis of graph theory and Lyapunov method, a synchronization criterion is given, whose conditions are closely related to coupled structure, event-triggered constant and uncontrolled rate. Moreover, quaternion-valued Chua’s circuits are considered for the first time, which is an application of our theoretical results. Finally, corresponding numerical simulations are presented to show the effectiveness of the theoretical results.

Suggested Citation

  • Liu, Yan & Wang, Junpu, 2021. "Synchronization of coupled systems via intermittent event-triggered control: Quaternion case," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005968
    DOI: 10.1016/j.chaos.2021.111242
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    References listed on IDEAS

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    4. Lu, Jianquan & Ho, Daniel W.C., 2008. "Local and global synchronization in general complex dynamical networks with delay coupling," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1497-1510.
    5. Pradeep, C. & Cao, Yang & Murugesu, R. & Rakkiyappan, R., 2019. "An event-triggered synchronization of semi-Markov jump neural networks with time-varying delays based on generalized free-weighting-matrix approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 41-56.
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    Cited by:

    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. Luo, Mei & Wang, JinRong & Meng, Deyuan, 2023. "Stochastic convergence problems on switching networks: An event-triggered method," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    3. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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