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Leaderless Consensus of Semilinear Hyperbolic Multiagent Systems with Semipositive or Seminegative Definite Convection

Author

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  • Jiashu Dai
  • Chengdong Yang
  • Dong Xu
  • Shiping Wen
  • Muwei Jian
  • Dongliang Yang
  • Akbar Ali

Abstract

This paper deals with a leaderless consensus of semilinear first-order hyperbolic partial differential equation-based multiagent systems (HPDEMASs). A consensus controller under an undirected graph is designed. Dealing with different convection assumptions, two different boundary conditions are presented, one right endpoint and the other left endpoint. Two sufficient conditions for leaderless consensus of HPDEMAS are presented by giving the gain range in the case of the symmetric seminegative definite convection coefficient and the semipositive definite convection coefficient, respectively. Two examples are presented to show the effectiveness of the control methods.

Suggested Citation

  • Jiashu Dai & Chengdong Yang & Dong Xu & Shiping Wen & Muwei Jian & Dongliang Yang & Akbar Ali, 2022. "Leaderless Consensus of Semilinear Hyperbolic Multiagent Systems with Semipositive or Seminegative Definite Convection," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-8, August.
    • Handle: RePEc:hin:jnddns:1976765
    DOI: 10.1155/2022/1976765
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