Abstract
Abstract The task of synchronising autonomous agents is solved by a networked controller that steers the agents towards a common trajectory. This paper considers the transient behaviour of completely coupled synchronised agents, which brings the agents from their initial state towards the common synchronous trajectory. An explicit relation of the transient behaviour in terms of the initial agent states is derived, which shows how the time to synchronise the agents depends upon the coupling strength. As an important phenomenon of agents with complete couplings, it is proved that groups of agents, which are initially synchronised among each other, remain synchronised during the transient phase. The results are illustrated by their application to vehicle platooning.
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