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Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays

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  • Xiaorong Zhang
  • Min Shi
  • Hang Xu

Abstract

The consensus problem for a class of fractional-order nonlinear multiagent systems with a distributed protocol containing input time delay is investigated in this paper. Consider both cases of constant time delay and time-varying delay, the delay-independent consensus conditions are obtained to achieve the consensus of the systems, respectively, by adopting the linear matrix inequality (LMI) methods and stability theory of fractional-order systems. As illustrated by the numerical examples, the proposed theoretical results work well and accurately.

Suggested Citation

  • Xiaorong Zhang & Min Shi & Hang Xu, 2021. "Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, November.
    • Handle: RePEc:hin:jjmath:7859105
    DOI: 10.1155/2021/7859105
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