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Third-order leader-following consensus with circumstance noise under impulsive and switching control

Author

Listed:
  • Mei Sun

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

  • Dun Han

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

  • Dandan Li

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

  • Qiang Jia

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

  • Yaqi Wang

    (Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China)

Abstract

This research is aimed at investigating the leader–follower problem of third-order multi-agent with noise perturbation over fixed network under impulsive and switching control. Based on stochastic differential equation theory and hybrid control theory, effective impulsive and switching controllers are proposed, and the sufficient conditions for reaching multi-agent leader-following consensus are acquired. Numerical simulations verify the validity of the theoretical research results.

Suggested Citation

  • Mei Sun & Dun Han & Dandan Li & Qiang Jia & Yaqi Wang, 2014. "Third-order leader-following consensus with circumstance noise under impulsive and switching control," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(08), pages 1-14.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:08:n:s0129183114500260
    DOI: 10.1142/S0129183114500260
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