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Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays

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  • Jun Liu
  • Kaiyu Qin
  • Wei Chen
  • Ping Li
  • Mengji Shi

Abstract

Due to the complex external environment, many multiagent systems cannot be precisely described or even cannot be described by an integer-order dynamical model and can only be described by a fractional-order dynamical model. In this paper, consensus problems are investigated for two types of fractional-order multiagent systems (FOMASs) with nonuniform time delays: FOMAS with symmetric time delays and undirected topology and FOMAS with asymmetric time delays and directed topology. Employing the Laplace transform and the frequency-domain theory, two delay margins are obtained to guarantee the consensus for the two types of FOMAS, respectively. These results are also suitable for the integer-order dynamical model. Finally, simulation results are provided to illustrate the effectiveness of our theoretical results.

Suggested Citation

  • Jun Liu & Kaiyu Qin & Wei Chen & Ping Li & Mengji Shi, 2018. "Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-9, January.
    • Handle: RePEc:hin:jnlmpe:2850757
    DOI: 10.1155/2018/2850757
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