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Bipartite tracking consensus for multi-agent systems with Lipschitz-Type nonlinear dynamics

Author

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  • Wu, Jie
  • Deng, Qun
  • Han, Tao
  • Yang, Qing-Sheng
  • Zhan, Heng

Abstract

This study concentrates on the bipartite tracking consensus for Lipschitz-Type multi-agent systems (MASs) in the presence of a single leader. Distributed neighbor-based bipartite tracking consensus algorithms with leader’s control inputs are developed for both the nonzero and zero cases, under which the bipartite tracking consensus is reached. In contrast to the existing works on this topic, the Lipschitz nonlinear agent dynamics are taken into consideration. Additionally, the control inputs of the leader can be nonzero. Numerical simulations are performed to examine the potentials of results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1360-1369
    DOI: 10.1016/j.physa.2019.03.105
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    References listed on IDEAS

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    1. Wan, Chen & Li, Tao & Guan, Zhi-Hong & Wang, Yuanmei & Liu, Xiongding, 2017. "Spreading dynamics of an e-commerce preferential information model on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 192-200.
    2. Deng, Qun & Wu, Jie & Han, Tao & Yang, Qing-Sheng & Cai, Xiu-Shan, 2019. "Fixed-time bipartite consensus of multi-agent systems with disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 37-49.
    3. 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.
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    Cited by:

    1. Wang, Wei & Huang, Chi & Huang, Chuangxia & Cao, Jinde & Lu, Jianquan & Wang, Li, 2020. "Bipartite formation problem of second-order nonlinear multi-agent systems with hybrid impulses," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    2. Subramanian Manickavalli & Arumugam Parivallal & Ramasamy Kavikumar & Boomipalagan Kaviarasan, 2024. "Distributed Bipartite Consensus of Multi-Agent Systems via Disturbance Rejection Control Strategy," Mathematics, MDPI, vol. 12(20), pages 1-13, October.
    3. Shi, Lin & Gou, Kuixiang & Xie, Dongmei, 2021. "Convergence analysis of first-order discrete multi-agent systems with cooperative-competitive mechanisms," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    4. Zhang, Xuxi & Liu, Xianping & Lewis, Frank L. & Wang, Xia, 2020. "Bipartite tracking consensus of nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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