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Asymptotical consensus of fractional-order multi-agent systems with current and delay states

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Abstract

In this paper, we study some new fractional-order multi-agent systems with current and delay states (FMASCD). Using the generalized Nyquist’s stability criterion and Gerschgorin’s circle theorem, we obtain the bounded input-bounded output (BIBO) stability and asymptotical consensus of the FMASCD under mild conditions. Moreover, we give some numerical examples to illustrate our main results.

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Acknowledgements

The authors are grateful to the editors and reviewers whose helpful comments and suggestions have led to much improvement of the paper.

Author information

Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, China

    Xuhui Wang, Xuesong Li & Nanjing Huang

  2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    D. O’Regan

Authors
  1. Xuhui Wang
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  2. Xuesong Li
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  3. Nanjing Huang
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  4. D. O’Regan
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Corresponding author

Correspondence to Nanjing Huang.

Additional information

Citation: WANG, X. H., LI, X. S., HUANG, N. J., and O’REGAN, D. Asymptotical consensus of fractional-order multi-agent systems with current and delay states. Applied Mathematics and Mechanics (English Edition), 40(11), 1677–1694 (2019) https://doi.org/10.1007/s10483-019-2533-8

Project supported by the National Natural Science Foundation of China (Nos. 11471230 and 11671282)

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Wang, X., Li, X., Huang, N. et al. Asymptotical consensus of fractional-order multi-agent systems with current and delay states. Appl. Math. Mech.-Engl. Ed. 40, 1677–1694 (2019). https://doi.org/10.1007/s10483-019-2533-8

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  • DOI: https://doi.org/10.1007/s10483-019-2533-8

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Chinese Library Classification

2010 Mathematics Subject Classification

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