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Delay-dependent consensus condition for a class of fractional-order linear multi-agent systems with input time-delay

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  • Min Shi
  • Yajuan Yu
  • Qi Xu

Abstract

The consensus problem of a class of fractional-order linear multi-agent systems with distributed control containing input time-delay is investigated. By adopting the frequency domain analysis and generalised Nyquist criterion for the fractional-order time-delay systems, the delay-dependent consensus condition is obtained. Then, we are interested in finding the maximum time-delay tolerance and give an exact formula for calculating the maximum time-delay to maintain the system is consensusable. As illustrated by the numerical examples, the proposed theoretical results work effectively and accurately.

Suggested Citation

  • Min Shi & Yajuan Yu & Qi Xu, 2019. "Delay-dependent consensus condition for a class of fractional-order linear multi-agent systems with input time-delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(4), pages 669-678, March.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:669-678
    DOI: 10.1080/00207721.2019.1567865
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    Cited by:

    1. Chen, Liping & Li, Xiaomin & Chen, YangQuan & Wu, Ranchao & Lopes, António M. & Ge, Suoliang, 2022. "Leader-follower non-fragile consensus of delayed fractional-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 414(C).

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