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Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays

Author

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

Abstract

Consensus of fractional-order multiagent systems (FOMASs) with single integral has been wildly studied. However, the dynamics with multiple integral (especially double integral to sextuple integral) also exist in FOMASs, and they are rarely studied at present. In this paper, consensus problems for multi-integral fractional-order multiagent systems (MIFOMASs) with nonuniform time-delays are addressed. The consensus conditions for MIFOMASs are obtained by a novel frequency-domain method which properly eliminates consensus problems of the systems associated with nonuniform time-delays. Besides, the method revealed in this paper is applicable to classical high-order multiagent systems which is a special case of MIFOMASs. Finally, several numerical simulations with different parameters are performed to validate the correctness of the results.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:complx:8154230
    DOI: 10.1155/2018/8154230
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    References listed on IDEAS

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    1. Christophe Tricaud & YangQuan Chen, 2010. "Time-Optimal Control of Systems with Fractional Dynamics," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-16, February.
    2. Jing Bai & Guoguang Wen & Ahmed Rahmani & Xing Chu & Yongguang Yu, 2016. "Consensus with a reference state for fractional-order multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 222-234, January.
    3. 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.
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