A new framework for consensus for discrete-time directed networks of multi-agents with distributed delays

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Original languageEnglish
Pages (from-to)1755-1765
Journal / PublicationInternational Journal of Control
Issue number11
Publication statusPublished - 1 Nov 2012


In this article, the distributed consensus problem is considered for discrete-time delayed networks of dynamic agents with fixed topologies, where the networks under investigation are directed and the time delays involved are distributed time delays including a single or multiple time delay(s) as special cases. By using the invariance principle of delay difference systems, a new unified framework is established to deal with the consensus for the discrete-time delayed multi-agent system. It is shown that the addressed discrete-time network with arbitrary distributed time delays reaches consensus provided that it is strongly connected. A numerical example is presented to illustrate the proposed methods. © 2012 Taylor & Francis Group, LLC.

Research Area(s)

  • consensus, directed network, discrete-time multi-agent network, distributed time delay, invariance principle