Interactions among control channels in dynamical networks

Control-channel interactions in a linear diffusive network model are studied, with the aim of highlighting the role of the network's topology in such interactions. Specifically, the influence of a built controller on the infinite and finite zero structure of a second control channel is characterized. The analysis shows how the network's graph topology, the relative positions of the control channels, and the specifics of the built controller influence the zero structure of the second control channel. In particular, it is shown that the some control architectures can introduce undesirable non-minimum-phase dynamics at remote locations, while others are guaranteed to maintain or promote minimum-phase dynamics.