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Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback

Author

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  • Jun Liu
  • Kaiyu Qin
  • Wei Chen
  • Ping Li

Abstract

A state-derivative feedback (SDF) is added into the designed control protocol in the existing paper to enhance the robustness of a fractional-order multiagent system (FMS) against nonuniform time delays in this paper. By applying the graph theory and the frequency-domain analysis theory, consensus conditions are derived to make the delayed FMS based on state-derivative feedback reach consensus. Compared with the consensus control protocol designed in the existing paper, the proposed SDF control protocol with nonuniform time delays can make the FMS with SDF and nonuniform time delays tolerate longer time delays, which means that the convergence speed of states of the delayed FMS with SDF is accelerated indirectly. Finally, the corresponding results of simulation are given to verify the feasibility of our theoretical results.

Suggested Citation

  • Jun Liu & Kaiyu Qin & Wei Chen & Ping Li, 2018. "Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback," Complexity, Hindawi, vol. 2018, pages 1-12, November.
    • Handle: RePEc:hin:complx:8789632
    DOI: 10.1155/2018/8789632
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    Cited by:

    1. Jun Liu & Wei Chen & Kaiyu Qin & Ping Li, 2018. "Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    2. 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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