Adaptive pinning of mobile agent network

•New agents’ motion model in the plane combining random walk and Kuramoto’s model.•Adaptive pinning control synchronization in time-varying network of mobile agents.•Fully decentralized adaptive pinning control stability in time-varying networks. In this work we investigate the problem of controlling processes hold by an ensemble of autonomous mobile agents in a plane. As the autonomous mobile agents move in the plane they can interact to each other depending on the distance among them, defining a network of time-varying topological structure. Particularly, we investigate the problem of synchronizing processes hold by each mobile agent of a time-varying network by applying the fully decentralized adaptive pinning control strategy to guarantee pinning synchronization of the mobile agent network under fast-switching constraint. We have also proposed a new motion model to define agents motion in the plane. Numerical simulations are given to validate the proposal.