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Asynchronous impulsive consensus of discrete-time nonlinear multi-agent systems with time-varying delays

Author

Listed:
  • Zhang, Qunjiao
  • Luo, Juan
  • Tong, Ping
  • Wan, Li
  • Wu, Xiaoqun

Abstract

This paper addresses the asynchronous impulsive consensus of discrete-time nonlinear multi-agent systems with time-varying delays. Moreover, leader-following relationship is considered for the presented multi-agent systems, in which cooperation and competition exist simultaneously. By using the linear matrix inequality (LMI) method and the stability theory for delayed discrete-time impulsive systems, a set of sufficient conditions for consensus are obtained to realize asynchronous exponential impulsive consensus with controllers acting at different time sequences for different agents. Mainly formulated by the topology matrices, impulsive intervals, and gain coefficients, these criteria are easily implemented and have lower energy consumption compared with traditional impulsive control methods. Finally, several numerical simulations are shown to display the effectiveness of the derived theoretical results.

Suggested Citation

  • Zhang, Qunjiao & Luo, Juan & Tong, Ping & Wan, Li & Wu, Xiaoqun, 2024. "Asynchronous impulsive consensus of discrete-time nonlinear multi-agent systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    • Handle: RePEc:eee:phsmap:v:645:y:2024:i:c:s0378437124003765
    DOI: 10.1016/j.physa.2024.129867
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    References listed on IDEAS

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    1. Hu, Wenjun & Zhang, Wen & Ma, Zhongjun & Li, Kezan, 2022. "Partial component consensus analysis of second-order and third-order nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    2. Ning, Di & Chen, Juan & Jiang, Meiying, 2022. "Pinning impulsive synchronization of two-layer heterogeneous delayed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    3. Jiawei Zhuang & Shiguo Peng & Yonghua Wang, 2022. "Exponential consensus of nonlinear stochastic discrete-time multi-agent systems with time-varying delay via impulsive control," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(15), pages 3286-3301, November.
    4. Zhao, Yongshun & Li, Xiaodi & Cao, Jinde, 2020. "Global exponential stability for impulsive systems with infinite distributed delay based on flexible impulse frequency," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    5. Cai, Jiayi & Xiao, Canrong & Wang, Jingyi & Feng, Jianwen & Gong, Huajun, 2023. "Adaptive event-triggered consensus of multi-agent systems with spherical polar coordinate quantization mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 627(C).
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