AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS

Year 2017, Volume: 18 Issue: 4, 842 - 848, 31.10.2017

Özlem Feyza Erkan , Mehmet Akar

https://doi.org/10.18038/aubtda.341599

Abstract

In this paper, we study the
multi-equilibrium consensus problem for a time-varying network of n agents where the agents are modeled as
integrators. Instead of the joint connectivity condition which is widely used
in the literature, we propose an integral K
connectivity condition that allows us to examine the network through a constant
matrix. Based on this new concept, we present necessary and sufficient
conditions on networks modeled with undirected graphs so that multi-equilibrium
consensus states are achieved. Theoretical results are verified by numerical
simulations.

Keywords

multi-equilibria consensus, time-varying topology, integral connectivity

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