Distributed Consensus with Multi-Equilibria in Directed Networks

Erkan O. F. , CİHAN O. , AKAR M.

American Control Conference (ACC), Washington, United States Of America, 24 - 26 May 2017, pp.4681-4685 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Washington
  • Country: United States Of America
  • Page Numbers: pp.4681-4685


This paper studies the multi-equilibria consensus problem for discrete-time multi-agent networks with fixed communication topologies. The agents are assumed to use the traditional distributed averaging based consensus algorithm that relies on neighbor information exchange. Given the graph of the network, two new notions of primary and secondary layer subgraphs are introduced, which are subsequently used in determining the number of consensus equilibria. Numerical examples are provided to illustrate the results.