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Matrix measure-based event-triggered consensus of multi-agent systems with hybrid time delays

Author

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  • Chen, Boxun
  • Tang, Ze
  • Feng, Jianwen

Abstract

Considering that there are many systems with limited energy resources in reality, this paper mainly concentrates on researching the leader-following consensus issue for an array of nonlinear multi-agent systems with hybrid time delays. The purpose of this article is to reduce the load of communication and controller updates for multi-agent systems on the basis of consensus achieving, a novel distributed event-triggered impulsive control strategy is therefore proposed to realize the global and exponential leader-following consensus. By jointly utilizing the matrix measure protocol, the comparison principle and the parameter variation formula method, sufficient conditions for the realization of leader-following consensus are successfully obtained. Moreover, the convergence rate is precisely estimated and the Zeno behavior is proved not exist in closed-loop systems. Eventually, a numerical example is given to demonstrate the effectiveness of proposed control strategy and the rightness of theoretical analysis.

Suggested Citation

  • Chen, Boxun & Tang, Ze & Feng, Jianwen, 2024. "Matrix measure-based event-triggered consensus of multi-agent systems with hybrid time delays," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    • Handle: RePEc:eee:apmaco:v:463:y:2024:i:c:s0096300323005313
    DOI: 10.1016/j.amc.2023.128362
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    References listed on IDEAS

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    1. 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.
    2. Zhang, Juan & Zhang, Huaguang & Cai, Yuliang & Wang, Wei, 2021. "Consensus control for nonlinear multi-agent systems with event-triggered communications," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    3. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    4. Zhao, Can & Liu, Xinzhi & Zhong, Shouming & Shi, Kaibo & Liao, Daixi & Zhong, Qishui, 2021. "Leader-following consensus of multi-agent systems via novel sampled-data event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    5. Wang, Kun-Peng & Ding, Dong & Tang, Ze & Feng, Jianwen, 2022. "Leader-Following consensus of nonlinear multi-agent systems with hybrid delays: Distributed impulsive pinning strategy," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    Full references (including those not matched with items on IDEAS)

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