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      On the Delay Margin for Consensus in Directed Networks of Anticipatory Agents

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      Author(s)
      Irofti D.
      Atay, F. M.
      Date
      2016
      Source Title
      IFAC-PapersOnLine
      Print ISSN
      24058963
      Publisher
      Elsevier B.V.
      Volume
      49
      Issue
      10
      Pages
      206 - 211
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      We consider a linear consensus problem involving a time delay that arises from predicting the future states of agents based on their past history. In case the agents are coupled in a connected and undirected network, the exact condition for consensus is that the delay be less than a constant threshold that is independent of the network topology or size. In directed networks, however, the situation is quite different. We show that the allowable maximum delay for consensus depends on the network topology in a nontrivial way. We study this delay margin in several network constellations, including various circulant networks with directed links. We show that the delay margin depends not only on the number of neighbors, but also on the directionality of connections with those neighbors. Furthermore, the delay margin improves as the circulant networks are rewired en route to a small-world configuration. © 2016
      Keywords
      anticipation
      Consensus
      delay
      graph theory
      network
      prediction
      stability analysis
      Forecasting
      Graph theory
      Networks (circuits)
      Time delay
      anticipation
      Anticipatory agents
      Consensus
      Consensus problems
      Constant threshold
      delay
      Stability analysis
      Undirected network
      Topology
      Permalink
      http://hdl.handle.net/11693/36828
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.ifacol.2016.07.530
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      • Department of Mathematics 653
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