Discrete-Time Analysis of Multi-Agent Networks with Multiple Consensus Equilibria

In this paper, we investigate the multiple equilibrium consensus problem of first order multi-agent networks. The problem is handled in a discrete time setting for networks with time invariant and time-varying topologies having Undirected information flow. By using matrix theory and algebraic graph theory, necessary and sufficient conditions are presented. The results are also illustrated with numerical examples. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.