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Consensus with a reference state for fractional-order multi-agent systems

Author

Listed:
  • Jing Bai
  • Guoguang Wen
  • Ahmed Rahmani
  • Xing Chu
  • Yongguang Yu

Abstract

This paper investigates consensus of fractional-order multi-agent systems (MASs) with a reference state. First, a consensus control law with a constant reference state is given using graph theory and stability analysis of fractional-order. Then, a general control law and a particular one for consensus of fractional-order MASs with a time-varying reference state are proposed. Next, the above control laws are extended to solve formation tracking problem. Finally, several simulations are presented to verify the effectiveness of the obtained results.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:222-234
    DOI: 10.1080/00207721.2015.1056273
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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. Hu, Jiangping & Hong, Yiguang, 2007. "Leader-following coordination of multi-agent systems with coupling time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 853-863.
    3. Hongjie Li, 2012. "Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, October.
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    Cited by:

    1. Abbasali Koochakzadeh & Mojtaba Naderi Soorki & Aydin Azizi & Kamran Mohammadsharifi & Mohammadreza Riazat, 2023. "Delay-Dependent Stability Region for the Distributed Coordination of Delayed Fractional-Order Multi-Agent Systems," Mathematics, MDPI, vol. 11(5), pages 1-13, March.
    2. 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.

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