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Leader-Following consensus of nonlinear multi-agent systems with hybrid delays: Distributed impulsive pinning strategy

Author

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  • Wang, Kun-Peng
  • Ding, Dong
  • Tang, Ze
  • Feng, Jianwen

Abstract

The leader-following consensus problem of a type of nonlinear multi-agent systems with both general time-varying delay and distributed time-varying delay is investigated in this paper. To realize the global and exponential consensus, a kind of effective distributed impulsive pinning control strategy is proposed. Adequate conditions are derived to assure the consensus by applying the average impulsive interval, the comparison principle with hybrid time-varying delays, and the method of parametric variation. Considering that the impulse could not only be beneficial but also be adverse to the final consensus, the positive and negative impulsive effects are studied in detail, respectively, and the larger ranges of impulsive effects are obtained. Correspondingly, by considering the impulsive effects in different situations, different convergence rates are accurately calculated. In addition, the validity of the control strategy proposed in this paper is verified based on the simulation examples.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322001175
    DOI: 10.1016/j.amc.2022.127031
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    References listed on IDEAS

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    Cited by:

    1. Xu, Ziqiang & Li, Yun & Zhan, Xisheng & Yan, Huaicheng & Han, Yiyan, 2024. "Time-varying formation of uncertain nonlinear multi-agent systems via adaptive feedback control approach with event-triggered impulsive estimator," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    2. Wang, Boyu & Zhang, Yijun & Wei, Miao, 2023. "Fixed-time leader-following consensus of multi-agent systems with intermittent control," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    3. Gao, Shanshan & Zhang, Shenggui & Chen, Xinzhuang & Song, Xiaodi, 2023. "Effects of adding arcs on the consensus convergence rate of leader-follower multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    4. 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).
    5. Xu, Bingchu & Yang, Yongqing, 2022. "Group consensus of nonlinear multiagent system with switching topology under DoS attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

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