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In this paper an emergence of leader-following model based on graph theory onthe arbitrary time scales is investigated. It means that the step size is notnecessarily constant but it is a function of time. We propose and proveconditions ensuring a leader-following consensus for any time scales usingGr\"{o}nwall inequality. The presented results are illustrated by examples.

Exponentially stable solution of mathematical model based on graph theory of agents dynamics on time scales