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

Authors : Özlem Feyza ERKAN, Mehmet AKAR

Pages : 842-848

Doi:10.18038/aubtda.341599

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Publication Date : 2017-10-31

Article Type : Research Paper

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