Analysis of Second Order Cluster Consensus for Directed Networks with Time Delay

CİHAN O. , Akar M.

7th IFAC Symposium on System Structure and Control (SSSC) jointly held with the 15th IFAC Workshop on Time Delay Systems (TDS), Sinaia, Romanya, 9 - 11 Eylül 2019, cilt.52, ss.31-36 identifier identifier

  • Cilt numarası: 52
  • Doi Numarası: 10.1016/j.ifacol.2019.11.022
  • Basıldığı Şehir: Sinaia
  • Basıldığı Ülke: Romanya
  • Sayfa Sayıları: ss.31-36


In this paper, we consider the cluster consensus problem in delayed directed networks where agents are described by second-order discrete-time dynamics. Unlike first order systems, delay is shown to lead to instability in second order systems if the controller parameters are not chosen properly. Furthermore, the numerical results reveal that as the amount of delay increases, the stability region in the controller parameter space shrinks. Copyright (C) 2019. The Authors. Published by Elsevier Ltd. All rights reserved.