IEEE Access (Jan 2022)

Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays

  • Jiashu Dai,
  • Chuanhai Yang,
  • Xu Yan,
  • Jiuru Wang,
  • Kongwei Zhu,
  • Chengdong Yang

DOI
https://doi.org/10.1109/ACCESS.2022.3153078
Journal volume & issue
Vol. 10
pp. 21211 – 21218

Abstract

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This paper studies leaderless consensus of semi-linear parabolic partial integro-differential equations based multi-agent systems (PIDEMASs) with time delays. Making use of the information interaction and coordination among the neighboring agents, consensus control of the leaderless PIDEMAS is constructed. Consensus of the leaderless PIDEMAS is analyzed by using a Lyapunov approach. Dealing with time-invariant delays and time-varying delays, two sufficient conditions for consensus of the leaderless PIDEMAS are respectively obtained in terms of LMIs. Two examples illustrate the effectiveness of developed theoretical results.

Keywords