Applied Mathematics and Mechanics

, Volume 40, Issue 11, pp 1677–1694 | Cite as

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

  • Xuhui Wang
  • Xuesong Li
  • Nanjing HuangEmail author
  • D. O’Regan


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.

Key words

fractional-order multi-agent system (FMAS) asymptotical consensus current state delay state 

Chinese Library Classification


2010 Mathematics Subject Classification

34A08 34D05 


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


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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Xuhui Wang
    • 1
  • Xuesong Li
    • 1
  • Nanjing Huang
    • 1
    Email author
  • D. O’Regan
    • 2
  1. 1.Department of MathematicsSichuan UniversityChengduChina
  2. 2.School of Mathematics, Statistics and Applied MathematicsNational University of IrelandGalwayIreland

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