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Synchronization of complex dynamic networks with packet loss: A novel intermittent pinning impulsive control approach

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  • Zhuang, Jiawei
  • Li, Jun-Yi
  • Zhang, Shunchao
  • Zhang, Yongwei

Abstract

This paper aims at investigating the problem of exponential synchronization in complex dynamic networks (CDNs), with a particular focus on the impact of packet loss. A novel intermittent pinning impulsive control (IPIC) is developed by integrating the beneficial features of intermittent control and pinning impulsive control. Distinct from the existing intermittent control schemes, IPIC actuates a fraction of nodes within CDNs at the impulsive instants during the control intervals. Building on this, to avert additional unnecessary control consumption, an event-triggered IPIC scheme predicated on the threshold value and the check period is introduced. Within this control framework, a sufficient criterion is derived to ensure the synchronization of the CDNS, thereby preventing the occurrence of Zeno behavior. Intriguingly, the definition of intermittent average impulsive interval is incorporated into the developed results, significantly broadening their applicability. Finally, the developed results are confirmed by a classical simulation example, demonstrating their effectiveness.

Suggested Citation

  • Zhuang, Jiawei & Li, Jun-Yi & Zhang, Shunchao & Zhang, Yongwei, 2025. "Synchronization of complex dynamic networks with packet loss: A novel intermittent pinning impulsive control approach," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077924015182
    DOI: 10.1016/j.chaos.2024.115966
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    References listed on IDEAS

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    1. Zhuang, Jiawei & Peng, Shiguo & Wang, Yonghua, 2022. "Exponential consensus of stochastic discrete multi-agent systems under DoS attacks via periodically intermittent control: An impulsive framework," Applied Mathematics and Computation, Elsevier, vol. 433(C).
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    3. Guo, Junfeng & Wang, Fei & Xue, Qianwen & Wang, Mengqing, 2023. "Cluster synchronization control for coupled genetic oscillator networks under denial-of-service attacks: Pinning partial impulsive strategy," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    4. Arbid, Mahmoud & Teffahi, Abdelkader & Boukabou, Abdelkrim & Bounar, Amel, 2023. "Predictive-based control of complex dynamic networks," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    5. Aadhithiyan, S. & Raja, R. & Dianavinnarasi, J. & Alzabut, J. & Baleanu, D., 2023. "Robust synchronization of multi-weighted fractional order complex dynamical networks under nonlinear coupling via non-fragile control with leakage and constant delays," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. Xie, Xiang & Li, Xiaodi & Liu, Xinzhi, 2023. "Event-triggered impulsive control for multi-agent systems with actuation delay and continuous/periodic sampling," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
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