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

Min Shi, Yajuan Yu and Qi Xu

International Journal of Systems Science, 2019, vol. 50, issue 4, 669-678

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.

Date: 2019
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DOI: 10.1080/00207721.2019.1567865

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