Consensus of Linear Multiagent Systems With Distributed Infinite Transmission Delays : A Low Gain Approach

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Original languageEnglish
Article number8718802
Pages (from-to)809-816
Number of pages8
Journal / PublicationIEEE Transactions on Automatic Control
Issue number2
Online published21 May 2019
Publication statusPublished - Feb 2020


This paper considers the consensus problem of linear multiagent systems with distributed infinite transmission delays. A novel low gain controller is proposed and it is shown that the proposed controller can solve the consensus problem if the open loop agent dynamics have no exponentially unstable eigenvalues and the communication topology is fixed and contains a spanning tree. One of the distinctive advantages of the proposed controller is that it does not require the knowledge of transmission delays. Our proofs are established based on a stability result on infinite delays, which can be seen as an extension of the commonly used frequency domain method. Our results include those results on distributed bounded delays and constant delays as their special cases. Simulation examples are provided to illustrate the effectiveness of the proposed controller.

Research Area(s)

  • Consensus, infinite delay, linear multiagent systems, low gain feedback