Consensus of fractional-order delayed multi-agent systems in Riemann–Liouville sense

•Fractional-order delayed multi-agent systems in Riemann–Liouville sense are considered.•The coupling topology corresponds to a weighted digraph.•Classical Lyapunov direct method is adopted to deal with consensus.•The proposed method can handle effectively the difficulty arising from time delays.•Se...

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Bibliographic Details
Published in:Neurocomputing (Amsterdam) 2020-07, Vol.396, p.123-129
Main Authors: Yang, Ran, Liu, Song, Li, Xiaoyan, Zhao, Xiao-Wen, Pan, Genan
Format: Article
Language:English
Subjects:
Consensus
Fractional-order delayed multi-agent system
Lyapunov direct method
Riemann–Liouville derivative
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Summary:•Fractional-order delayed multi-agent systems in Riemann–Liouville sense are considered.•The coupling topology corresponds to a weighted digraph.•Classical Lyapunov direct method is adopted to deal with consensus.•The proposed method can handle effectively the difficulty arising from time delays.•Several simple algebraic criteria on consensus are given. Fractional-order delayed multi-agent systems (FDMASs) in Riemann–Liouville sense are considered, where the corresponding topology is a weighted digraph. A new method is adopted to analyze consensus and some algebraic criteria are provided by applying classical Lyapunov direct method and algebraic graph theory. The main merit of our proposed approach is that the first-order derivative of the corresponding Lyapunov function can be taken. Two illustrative examples are provided to further show the validity of our approach.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2020.02.040