On state-dependent dynamic graphs and their controllability properties

We consider distributed dynamic systems operating over a graph or a network. The geometry of the networks is assumed to be a function of the underling system´s states, giving it a unique dynamic character. Certain aspects of the resulting abstract structure, having a mixture of combinatorial and system theoretic features, are then studied. The author explores an interplay between notions from extremal graph theory and system theory by considering a controllability framework for such state-dependent dynamic graphs.