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Distributed leader-following consensus for second-order multi-agent systems with nonlinear inherent dynamics

Author

Listed:
  • Guoguang Wen
  • Zhaoxia Peng
  • Ahmed Rahmani
  • Yongguang Yu

Abstract

In this paper, the leader-following consensus problem for second-order multi-agent systems with nonlinear inherent dynamics is investigated. Two distributed control protocols are proposed under fixed undirected communication topology and fixed directed communication topology. Some sufficient conditions are obtained for the states of followers converging to the state of virtual leader globally exponentially. Rigorous proofs are given by using graph theory, matrix theory and Lyapunov theory. Simulations are also given to verify the effectiveness of the theoretical results.

Suggested Citation

  • Guoguang Wen & Zhaoxia Peng & Ahmed Rahmani & Yongguang Yu, 2014. "Distributed leader-following consensus for second-order multi-agent systems with nonlinear inherent dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1892-1901, September.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1892-1901
    DOI: 10.1080/00207721.2012.757386
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    References listed on IDEAS

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    1. Peng, Ke & Yang, Yupu, 2009. "Leader-following consensus problem with a varying-velocity leader and time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 193-208.
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    3. Quanjun Wu & Jin Zhou & Lan Xiang, 2012. "Impulsive consensus seeking in directed networks of multi-agent systems with communication time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(8), pages 1479-1491.
    4. Fenglan Sun & Zhi-Hong Guan, 2013. "Finite-time consensus for leader-following second-order multi-agent system," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 727-738.
    5. Wei Ni & Chun Xiong & Jie Yang, 2013. "Leader-following consensus of high-order multi-agent linear systems with bounded transmission channels," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(9), pages 1711-1725.
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