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Leader-following coordination of multi-agent systems with coupling time delays

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  • Hu, Jiangping
  • Hong, Yiguang

Abstract

In this paper, we consider a leader-following consensus problem of a group of autonomous agents with time-varying coupling delays. Two different cases of coupling topologies are investigated. At first, a necessary and sufficient condition is proved in the case when the interconnection topology is fixed and directed. Then a sufficient condition is proposed in the case when the coupling topology is switched and balanced. Numerical examples are also given to illustrate our results.

Suggested Citation

  • Hu, Jiangping & Hong, Yiguang, 2007. "Leader-following coordination of multi-agent systems with coupling time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 853-863.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:2:p:853-863
    DOI: 10.1016/j.physa.2006.08.015
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    Citations

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    Cited by:

    1. Feng, Shasha & Wang, Li & Li, Yijia & Sun, Shiwen & Xia, Chengyi, 2018. "A nonlinear merging protocol for consensus in multi-agent systems on signed and weighted graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 653-663.
    2. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2012. "Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5839-5849.
    3. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Observer-based output feedback distributed event-triggered control for linear multi-agent systems under general directed graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    4. Shoubo Jin & Guanghui Zhang, 2023. "Adaptive Consensus of the Stochastic Leader-Following Multi-Agent System with Time Delay," Mathematics, MDPI, vol. 11(16), pages 1-18, August.
    5. Jing Bai & Guoguang Wen & Ahmed Rahmani & Xing Chu & Yongguang Yu, 2016. "Consensus with a reference state for fractional-order multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 222-234, January.
    6. He, Xiaoyan & Wang, Qingyun & Yu, Wenwu, 2015. "Finite-time distributed cooperative attitude tracking control for multiple rigid spacecraft," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 724-734.
    7. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Distributed event-triggered protocols with Kx-functional observer for leader-following multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    8. Zhang, Jiangbo & Hong, Yiguang, 2013. "Opinion evolution analysis for short-range and long-range Deffuant–Weisbuch models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5289-5297.
    9. Long Jian & Yongfeng Lv & Rong Li & Liwei Kou & Gengwu Zhang, 2023. "Distributed Disturbance Observer-Based Containment Control of Multi-Agent Systems via an Event-Triggered Approach," Mathematics, MDPI, vol. 11(10), pages 1-12, May.
    10. Peng, Zhinan & Hu, Jiangping & Shi, Kaibo & Luo, Rui & Huang, Rui & Ghosh, Bijoy Kumar & Huang, Jiuke, 2020. "A novel optimal bipartite consensus control scheme for unknown multi-agent systems via model-free reinforcement learning," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    11. Xi, Lei & Yu, Tao & Yang, Bo & Zhang, Xiaoshun & Qiu, Xuanyu, 2016. "A wolf pack hunting strategy based virtual tribes control for automatic generation control of smart grid," Applied Energy, Elsevier, vol. 178(C), pages 198-211.
    12. Guo, Wanli & He, Wennuo & Shi, Lili & Sun, Wen & Lu, Xiaoqing, 2021. "Fixed-time consensus tracking for nonlinear stochastically disturbed multi-agent systems via discontinuous protocols," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    13. Ruan, Xiaoli & Xu, Chen & Feng, Jianwen & Wang, Jingyi & Zhao, Yi, 2022. "Adaptive dynamic event-triggered control for multi-agent systems with matched uncertainties under directed topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    14. Mo, Lipo & Yuan, Xiaolin & Yu, Yongguang, 2018. "Target-encirclement control of fractional-order multi-agent systems with a leader," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 479-491.
    15. Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang & Ren, Guojian, 2021. "Containment control of fractional discrete-time multi-agent systems with nonconvex constraints," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    16. Wu, Jie & Deng, Qun & Han, Tao & Yang, Qing-Sheng & Zhan, Heng, 2019. "Bipartite tracking consensus for multi-agent systems with Lipschitz-Type nonlinear dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1360-1369.
    17. Xiaole Xu & Lixin Gao, 2016. "Intermittent observer-based consensus control for multi-agent systems with switching topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1891-1904, June.
    18. Xianyong Zhang & Yaohong Huang & Li Li & Wei-Chang Yeh, 2018. "Power and Capacity Consensus Tracking of Distributed Battery Storage Systems in Modular Microgrids," Energies, MDPI, vol. 11(6), pages 1-25, June.
    19. Wu, Zhihai & Peng, Li & Xie, Linbo & Wen, Jiwei, 2013. "Stochastic bounded consensus tracking of leader–follower multi-agent systems with measurement noises based on sampled-data with small sampling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 918-928.
    20. Wenhui Liu & Chunjie Yang & Youxian Sun & Jiaxiang Qin, 2017. "Observer-based event-triggered containment control of multi-agent systems with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(6), pages 1217-1225, April.
    21. Baojie Zheng & Xiaowu Mu, 2016. "Formation-containment control of second-order multi-agent systems with only sampled position data," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(15), pages 3609-3618, November.
    22. Zhihai Wu & Li Peng & Linbo Xie & Jiwei Wen, 2015. "Stochastic bounded consensus tracking of second-order multi-agent systems with measurement noises based on sampled-data with general sampling delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(3), pages 546-561, February.
    23. 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).
    24. Mo, Lipo & Niu, Yuguang & Pan, Tingting, 2015. "Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 132-140.
    25. Hongwei Jia & Jun Zhao, 2016. "Output regulation of switched linear multi-agent systems: an agent-dependent average dwell time method," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2510-2520, August.

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