Discrete-Time Analysis of Multi-Agent Networks with Multiple Consensus Equilibria**This work was sponsored by BAP Project 9141 and Scientific and Technical Research Council of Turkey (TUBITAK) under Grant 114E613.
Özlem Feyza Erkan, Mehmet Akar · IFAC-PapersOnLine · 2016
: 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.