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Stochastic convergence problems on switching networks: An event-triggered method

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  • Luo, Mei
  • Wang, JinRong
  • Meng, Deyuan

Abstract

The paper investigates stochastic convergence problems of multi-agent systems with double-integrator dynamics. Based on the consideration of external interference and dynamic topology, a robust controller is proposed to avoid continuous communication between agents via time-dependent event-triggered protocol. The advantage of time-dependent event-triggered protocol is that its effectiveness does not decrease with the increase of the number of agents. Then, in the framework of fixed topology and Markov switching topologies, the convergence conditions are obtained respectively. In addition, singular triggering and Zeno phenomena are excluded. Finally, the effectiveness of the proposed theory is verified by numerical simulations.

Suggested Citation

  • Luo, Mei & Wang, JinRong & Meng, Deyuan, 2023. "Stochastic convergence problems on switching networks: An event-triggered method," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923003065
    DOI: 10.1016/j.chaos.2023.113405
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    References listed on IDEAS

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    1. Vadivel, R. & Hammachukiattikul, P. & Gunasekaran, Nallappan & Saravanakumar, R. & Dutta, Hemen, 2021. "Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Liu, Yan & Wang, Junpu, 2021. "Synchronization of coupled systems via intermittent event-triggered control: Quaternion case," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    3. Dong, Yafang & Huo, Liang'an & Zhao, Laijun, 2022. "An improved two-layer model for rumor propagation considering time delay and event-triggered impulsive control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Wang, Fei & Li, Ning & Yang, Yongqing, 2023. "Quantized-observer based consensus for fractional order multi-agent systems under distributed event-triggered mechanism," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 679-694.
    5. Du, Yingxue & Wang, Yijing & Zuo, Zhiqiang & Zhang, Wentao, 2022. "Event-triggered bipartite consensus for multi-agent systems subject to multiplicative and additive noises," Applied Mathematics and Computation, Elsevier, vol. 429(C).
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