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Third‐Order Leader‐Following Consensus in a Nonlinear Multiagent Network via Impulsive Control

Author

Listed:
  • Xiaomei Li
  • Zhongjun Ma
  • Chunhai Li
  • Jinde Cao

Abstract

Many facts indicate that the impulsive control method is a finer method, which is simple, efficient, and low in cost, for achieving consensus. In this paper, based on graph theory, Lyapunov stability theory, and matrix theory, a novel impulsive control protocol is given to realize the consensus of the multiagent network. Numerical simulations are performed to verify the theoretical results.

Suggested Citation

  • Xiaomei Li & Zhongjun Ma & Chunhai Li & Jinde Cao, 2013. "Third‐Order Leader‐Following Consensus in a Nonlinear Multiagent Network via Impulsive Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:612342
    DOI: 10.1155/2013/612342
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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.
    2. Haibo Jiang & Jianjiang Yu & Caigen Zhou, 2011. "Consensus of multi-agent linear dynamic systems impulsive control protocols," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(6), pages 967-976.
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