Consensus problems in continuous-time with time-varying communication delays

Takanobu Shida, Gen Li, Hiromitsu Ohmori, Akira Sano

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we study a consensus problem of continuous time multi-agent system. Multi-agent system has communication network. Each agent gets information of neighbors to achieve consensus. It is assumed that there are delays in communication network. The communication delays are different every communication channels and time-dependent. Furthermore, it is assumed that there are switching topologies and feed-back gains are time variable. Under these assumptions, we show that the entire system is stable. The stability is shown by Lyapunov theorem.

Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages14964-14969
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
Publication statusPublished - 2011 Jan 1

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

    Fingerprint

Keywords

  • Consensus
  • Lyapunov function
  • Robust stability
  • Switching topology
  • Time-delays

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Shida, T., Li, G., Ohmori, H., & Sano, A. (2011). Consensus problems in continuous-time with time-varying communication delays. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 14964-14969). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.01329