Cluster Consensus in Delayed Second-Order Multi-Agent Systems

Develer U., CİHAN O., Akar M.

19th IFAC Workshop on Time Delay Systems, TDS 2025, Gif-sur-Yvette, Fransa, 30 Haziran - 02 Temmuz 2025, cilt.59, ss.171-176, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 59
  • Doi Numarası: 10.1016/j.ifacol.2025.10.030
  • Basıldığı Şehir: Gif-sur-Yvette
  • Basıldığı Ülke: Fransa
  • Sayfa Sayıları: ss.171-176
  • Anahtar Kelimeler: cluster consensus, Delayed linear systems, multi-agent systems, number of clusters and their members without making any structural assumptions, primary & secondary layer subgraphs
  • Marmara Üniversitesi Adresli: Evet

Özet

This paper investigates cluster consensus in a second-order multi-agent network with input and communication delays. In the absence of specific graph constraints, the concepts of primary and secondary layer subgraphs are employed to identify the number of naturally forming consensus clusters and their members. The paper derives delay conditions that ensure the system converges to cluster consensus. Numerical examples are presented to verify the validity of the theoretical results.