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Agreement coordination of fractional-order multi-agent systems with reaction–diffusion and persistent disturbances

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  • Yuan, Xiaolin
  • Mo, Lipo
  • Yu, Yongguang

Abstract

Agreement coordination problem of fractional-order multi-agent systems (FOMASs) with reaction–diffusion term and unknown persistent external disturbances is mainly investigated in this paper. Firstly, based on the output information, some estimators are designed to obtain the information of all agents and unknown persistent external disturbances, and a novel distributed control protocol is designed. And then, the convergence analysis of the closed-loop system is finished by using the theories of algebraic graph and Mittag-Leffler stability, and some sufficient consensus matrix inequalities conditions are deduced. Finally, the effectiveness of the obtained results are verified by several simulations.

Suggested Citation

  • Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang, 2019. "Agreement coordination of fractional-order multi-agent systems with reaction–diffusion and persistent disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 680-693.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:680-693
    DOI: 10.1016/j.physa.2019.03.063
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    References listed on IDEAS

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    1. Mo, Lipo & Niu, Yuguang & Pan, Tingting, 2015. "Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 132-140.
    2. Jing Bai & Guoguang Wen & Ahmed Rahmani & Yongguang Yu, 2015. "Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(13), pages 2380-2392, October.
    3. Wang, Fei & Yang, Yongqing, 2017. "Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: A heterogeneous impulsive method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 158-172.
    4. Mo, Lipo & Yuan, Xiaolin & Yu, Yongguang, 2018. "Target-encirclement control of fractional-order multi-agent systems with a leader," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 479-491.
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    Cited by:

    1. Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang, 2022. "Corrections for “Agreement coordination of fractional- order multi-agent systems with reaction–diffusion and persistent disturbances”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).

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