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Malgorzata Zdanowicz

Publications and source records attributed to Malgorzata Zdanowicz.

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

In this paper an emergence of leader-following model based on graph theory on the arbitrary time scales is investigated. It means that the step size is not necessarily constant but it is a function of time. We propose and prove conditions ensuring a leader-following consensus for any time scales using Grönwall inequality. The presented results are illustrated by examples.

math.CA