Adaptive state-feedback synchronization with distributed input: the cyclic case

Using a setting in which the input is communicated among neighbors (without exchanging any distributed observer variables), the problem of synchronizing an acyclic network of linear uncertain agents has been formulated recently as a distributed model reference adaptive control (MRAC) where each agent tries to converge to the model defined by its neighbors. In this work we show how to parametrize the distributed MRAC in cyclic and undirected graphs.