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Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control

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  • Tiedong Ma
  • Teng Li
  • Bing Cui

Abstract

The coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control method is studied in this paper. Based on the theory of impulsive differential equations, algebraic graph theory, Lyapunov stability theory and Mittag-Leffler function, two novel sufficient conditions for achieving the cooperative control of a class of fractional-order nonlinear multi-agent systems are derived. Finally, two numerical simulations are verified to illustrate the effectiveness and feasibility of the proposed method.

Suggested Citation

  • Tiedong Ma & Teng Li & Bing Cui, 2018. "Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 1-14, January.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:1-14
    DOI: 10.1080/00207721.2017.1397805
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    Cited by:

    1. Sharafian, Amin & Sharifi, Alireza & Zhang, Weidong, 2020. "Different types of sliding mode controller for nonlinear fractional multi-Agent system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    2. Yu, Nanxiang & Zhu, Wei, 2021. "Event-triggered impulsive chaotic synchronization of fractional-order differential systems," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    3. Jing Bai & Yongguang Yu, 2018. "Neural Networks Based Adaptive Consensus for a Class of Fractional-Order Uncertain Nonlinear Multiagent Systems," Complexity, Hindawi, vol. 2018, pages 1-10, November.
    4. Liming Wang & Guoshan Zhang, 2019. "Performance Index Based Observer-Type Iterative Learning Control for Consensus Tracking of Uncertain Nonlinear Fractional-Order Multiagent Systems," Complexity, Hindawi, vol. 2019, pages 1-17, November.

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