IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v518y2026ics0096300325006435.html

Finite-time trajectory tracking of multi-agent systems via higher-order dynamic networks with channel damage

Author

Listed:
  • Mao, Junfeng
  • Tu, Lilan
  • Wang, Xianjia
  • Gao, Fujuan
  • Zhao, Qiuyue

Abstract

For multi-agent trajectory tracking, strong communication channels between agents are crucial for group motion. In this paper, using undirected and directed higher-order complex networks described by second-order simplicial complexes, we investigated finite-time trajectory tracking of multi-agent systems when communication channels are damaged. By introducing the effective and damaged rates to the first-order and second-order channels of the multi-agent networks, and employing Lyapunov stability theory, and finite-time control techniques, we proposed several theoretical sufficient conditions that enable multiple agents in the response networks with damaged channels to track the trajectories of multiple agents in the drive networks within finite time. Extensive numerical simulations were conducted not only to verify the feasibility and effectiveness of the proposed theoretical results, but also to explore the effects of first-order channel, second-order channel, random damage, deliberate damage, one-time damage, and cascade damage on the finite-time tracking performance of multi-agent systems. We found that damage to first-order channels significantly impacts the tracking performance of multi-agent systems, while damage to second-order channels has a comparatively smaller impact. Deliberate damage is more detrimental to multi-agent systems than random damage. Random damage triggers significant phase fluctuations in tracking time. The directionality makes the network more vulnerable to channel damage.

Suggested Citation

  • Mao, Junfeng & Tu, Lilan & Wang, Xianjia & Gao, Fujuan & Zhao, Qiuyue, 2026. "Finite-time trajectory tracking of multi-agent systems via higher-order dynamic networks with channel damage," Applied Mathematics and Computation, Elsevier, vol. 518(C).
    • Handle: RePEc:eee:apmaco:v:518:y:2026:i:c:s0096300325006435
    DOI: 10.1016/j.amc.2025.129918
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325006435
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129918?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Fan, Yongqing & Zhang, Yu & Li, Zhen, 2025. "Distributed adaptive tracking consensus control for a class of heterogeneous nonlinear multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 420-441.
    2. Zhao, Guangtong & Cao, Liang & Li, Xiaomeng & Zhou, Qi, 2022. "Observer-based dynamic event-triggered control for nonstrict-feedback stochastic nonlinear multiagent systems," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    3. Fenglan Sun & Zhonghua Xu & Wei Zhu & Jürgen Kurths, 2024. "Fast finite-time time-varying formation tracking control of multi-agent systems with external disturbance and region constraints," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(11), pages 2373-2387, August.
    4. Li, WenYao & Xue, Xiaoyu & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Competing spreading dynamics in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    5. Wang, Yi & Zhao, Yi, 2024. "Synchronization of directed higher-order networks via pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    6. Zhao, Miao & Xi, Jianxiang & Wang, Le & Wang, Cheng & Zheng, Yuanshi, 2025. "Fully distributed self-triggered secure consensus for nonlinear multiagent systems with sequential communication link scaling attacks," Applied Mathematics and Computation, Elsevier, vol. 490(C).
    7. Linxi Xu & Kaiyu Qin, 2024. "Neural Network-Based Distributed Consensus Tracking Control for Nonlinear Multi-Agent Systems with Mismatched and Matched Disturbances," Mathematics, MDPI, vol. 12(9), pages 1-18, April.
    8. Xu, Ke & Wang, Huanqing & Liu, Peter Xiaoping, 2023. "Adaptive fuzzy finite-time tracking control of nonlinear systems with unmodeled dynamics," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    9. Chu, Yao & Li, Xiaodi & Han, Xiuping, 2024. "Exponential synchronization of complex networks with unmeasured coupling delays via impulsive observer and impulsive control," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    10. M. Li & B. Shao & X. Shi & Binchang Wang, 2022. "A Distributed Resource Allocation Algorithm for the General Linear Multiagent Systems," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-11, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jin, Xin & Wang, Zhengxin & Chen, Xiaojie, 2024. "Impulsive quasi-containment control in stochastic heterogeneous multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    2. Gao, Dong-Xiang & Cui, Wen-Hua & Wu, Li-Bing & Zhang, Yu-Jun & Tao, Ye, 2026. "Fixed-time optimized control for nonlinear strict-feedback systems based on reinforcement learning and disturbance observer," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    3. Li, Xueqi & Ghosh, Dibakar & Lei, Youming, 2023. "Chimera states in coupled pendulum with higher-order interaction," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    4. Xu, Linlong & Liu, Xiwei, 2025. "Prescribed-time bipartite synchronization for directed higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    5. Leng, Hui & Zhao, Yi & Luo, Jianfeng, 2024. "Simplicial epidemic model with a threshold policy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    6. Wang, Wei & Li, Wenyao & Lin, Tao & Wu, Tao & Pan, Liming & Liu, Yanbing, 2022. "Generalized k-core percolation on higher-order dependent networks," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    7. Nie, Yanyi & Li, Wenyao & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Markovian approach to tackle competing pathogens in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    8. Xie, Ying & Zhou, Ping & Yao, Zhao & Ma, Jun, 2022. "Response mechanism in a functional neuron under multiple stimuli," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    9. Nie, Yanyi & Zhong, Xiaoni & Lin, Tao & Wang, Wei, 2022. "Homophily in competing behavior spreading among the heterogeneous population with higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    10. Zhang, Suhuan & Zhu, Fanglai, 2025. "Asynchronous bumpless transfer control for stochastic hidden semi-Markovian jump systems against deception attacks," Applied Mathematics and Computation, Elsevier, vol. 506(C).
    11. Yi, Jiale, 2023. "Adaptive fuzzy connectivity-preserving consensus protocols for stochastic strict-feedback nonlinear MASs subject to unmeasured periodic disturbances," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    12. Yan, Jiayuan & Hu, Bin & Guan, Zhi-Hong & Zhang, Ding-Xue, 2025. "On controllability of fractional-order impulsive and switching systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 497(C).
    13. Yang, Yadong & Gong, Jianye & Shen, Qikun, 2026. "Dynamic self-triggered fixed-time consensus for stochastic multiagent systems with unknown function powers under hybrid cyber attacks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 239(C), pages 646-660.
    14. Sui, Shuai & Yu, Yuelei & Tong, Shaocheng & Philip Chen, C.L., 2024. "Event-triggered robust fuzzy adaptive control for non-strict feedback nonlinear system with prescribed performance," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    15. Li, Ming & Huo, Liang'an, 2025. "Effect of time-varying validity of individual interaction on co-evolution of awareness and epidemics in a multiplex high-order network," Applied Mathematics and Computation, Elsevier, vol. 499(C).
    16. Gao, Yihan & Li, Jiachen & Gao, Feng & Wang, Wei, 2026. "Coevolution of multipathogens on higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    17. Liu, Maoxing & Ren, Xuejie & Peng, Yu & Sun, Yongzheng, 2024. "The dynamical analysis of simplicial SAIS epidemic model with awareness programs by media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 649(C).
    18. Li, Wenyao & Cai, Meng & Zhong, Xiaoni & Liu, Yanbing & Lin, Tao & Wang, Wei, 2023. "Coevolution of epidemic and infodemic on higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    19. Gómez-Corral, A. & Lopez-Herrero, M.J. & Taipe, D., 2023. "A Markovian epidemic model in a resource-limited environment," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    20. Zhou, Qiao & Duan, Xiaochang & Yu, Guang, 2025. "Research on dynamic modeling and control mechanisms of rumor spread considering high-order interactions and counter-rumor groups," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:518:y:2026:i:c:s0096300325006435. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.