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Finite-Time Consensus with a Time-Varying Reference State and Switching Topology

Author

Listed:
  • Jian-Yong Wang
  • Zhen Tian
  • Xu Zhu
  • Naif D. Alotaibi

Abstract

The finite-time consensus problem in the networks of multiple mobile agents is comprehensively investigated. In order to resolve this problem, a novel nonlinear information exchange protocol is proposed. The proposed protocol ensures that the states of the agents are converged to a weighted-average consensus in finite time if the communication topology is a weighted directed graph with a spanning tree and each strongly connected component is detail-balanced. Furthermore, the proposed protocol is also able to solve the finite-time consensus problem of networks with a switching topology. Finally, computer simulations are presented to demonstrate and validate the effectiveness of the theoretical analysis under the proposed protocol.

Suggested Citation

  • Jian-Yong Wang & Zhen Tian & Xu Zhu & Naif D. Alotaibi, 2017. "Finite-Time Consensus with a Time-Varying Reference State and Switching Topology," Complexity, Hindawi, vol. 2017, pages 1-9, June.
    • Handle: RePEc:hin:complx:6038584
    DOI: 10.1155/2017/6038584
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    References listed on IDEAS

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    1. Wen, Guanghui & Duan, Zhisheng & Chen, Guanrong & Geng, Xianmin, 2011. "A weighted local-world evolving network model with aging nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 4012-4026.
    2. Chen, Guo & Dong, Zhao Yang & Hill, David J. & Zhang, Guo Hua, 2009. "An improved model for structural vulnerability analysis of power networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4259-4266.
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    Cited by:

    1. Lixin Gao & Hui Fang & Wenhai Chen & He Cao, 2019. "Weighted Consensus Problem for Multiagent Systems with Edge- and Node-Weighted Directed Graphs," Complexity, Hindawi, vol. 2019, pages 1-13, September.

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