Leaderless and Leader-Following Consensus With Communication and Input Delays Under a Directed Network Topology

  • Authors:
  • Ziyang Meng;Wei Ren;Yongcan Cao;Zheng You

  • Affiliations:
  • Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China;-;-;-

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
  • Year:
  • 2011

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Abstract

In this paper, time-domain (Lyapunov theorems) and frequency-domain (the Nyquist stability criterion) approaches are used to study leaderless and leader-following consensus algorithms with communication and input delays under a directed network topology. We consider both the first-order and second-order cases and present stability or boundedness conditions. Several interesting phenomena are analyzed and explained. Simulation results are presented to support the theoretical results.