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.
Subjects | Engineering |
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Journal Section | Articles |
Authors | |
Publication Date | October 31, 2017 |
Published in Issue | Year 2017 Volume: 18 Issue: 4 |