Author/Authors :
erkan, özlem feyza boğaziçi university - department of electrical and electronics engineering, Istanbul, Turkey , akar, mehmet boğaziçi university - department of electrical and electronics engineering, Istanbul, Turkey
Title Of Article :
AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUSIN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS
Abstract :
In this paper, we study the multi-equilibria 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 multiequilibrium consensus states are achieved. Theoretical results are verified by numerical simulations.
NaturalLanguageKeyword :
Integral connectivity , Multi , equilibria consensus , Time , varying topology
JournalTitle :
Anadolu University Journal of Science and Technology. A : Applied Sciences and Engineering
