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Generalised exponential consensus of the fractional-order nonlinear multi-agent systems via event-triggered control

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  • Min Shi
  • Songlin Hu
  • Yajuan Yu

Abstract

In this paper, the leader-following consensus problem of the fractional-order nonlinear multi-agent systems via event-triggered control is considered. An effective event-triggered controller is designed and then generalised exponential consensus of the controlled multi-agent systems is studied in the sense of Mittag-Leffler stability of fractional-order systems. The event-triggering function design is dependent on the parameter of the system structure and the minimum inter-event interval can be flexibly adjusted with different fractional-order α. With the event-triggered control scheme, the consensus condition is obtained and the convergence rate of the system is estimated. Numerical simulation indicates the effectiveness of the theoretical results.

Suggested Citation

  • Min Shi & Songlin Hu & Yajuan Yu, 2019. "Generalised exponential consensus of the fractional-order nonlinear multi-agent systems via event-triggered control," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(6), pages 1244-1251, April.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1244-1251
    DOI: 10.1080/00207721.2019.1598510
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