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This paper considers the discrete-time version of Altafini's model for opinion dynamics in which the interaction among a group of agents is described by a time-varying signed digraph. Prompted by an idea from <xref ref-type="bibr" rid="ref3">[3]</xref>, exponential convergence of the system is studied using a graphical approach. Necessary and sufficient conditions for...
We consider in this paper a discrete-time deterministic m-ary diffusion model over a strongly connected directed graph. The update rule is easy to state: let the vertices of the graph represent the agents and the edges represent the information flow; at every time step, each vertex updates its value to the maximum value held by its incoming neighbors at the last time step. The resulting system, defined...
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