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Leader-Following Consensus of Fractional Nonlinear Multiagent Systems

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  • Guojian Ren
  • Yongguang Yu
  • Shuo Zhang

Abstract

The leader-following consensus of fractional nonlinear multiagent systems is investigated over an undirected fixed interaction graph. Mittag-Leffler stability and the fractional Lyapunov direct method are firstly introduced into the fractional multiagent systems. The sufficient conditions are given to guarantee that the leader-following consensus can be achieved in the systems with both single-integrator dynamics and double-integrator dynamics. Finally, the numerical simulations are given to verify the correctness of the presented theory.

Suggested Citation

  • Guojian Ren & Yongguang Yu & Shuo Zhang, 2015. "Leader-Following Consensus of Fractional Nonlinear Multiagent Systems," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:919757
    DOI: 10.1155/2015/919757
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    Cited by:

    1. Liu, Song & Yang, Ran & Li, Xiaoyan & Xiao, Jian, 2021. "Global attractiveness and consensus for Riemann–Liouville’s nonlinear fractional systems with mixed time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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