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Fixed-time bipartite consensus of multi-agent systems with disturbances

Author

Listed:
  • Deng, Qun
  • Wu, Jie
  • Han, Tao
  • Yang, Qing-Sheng
  • Cai, Xiu-Shan

Abstract

This article settles the fixed-time bipartite consensus for multi-agent systems that are subject to disturbances or not. The established protocols are aimed at controlling networked agents to reach agreement bipartitely, which reveals that a final state is the same in quantity but not in sign. By introducing algebraic graph theory, Lyapunov analysis and stability theory of fixed-time, the settling time associated with the design parameters and network connectivity rather than the initial states is explicitly given. The rationality of theoretical analysis is demonstrated via simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:37-49
    DOI: 10.1016/j.physa.2018.09.066
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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.
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    Cited by:

    1. 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.

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