A Graph-Theoretic Approach to the ${\mathcal{H}}_{\infty }$ Performance of Dynamical Systems on Directed and Undirected Networks

Mohammad Pirani, Henrik Sandberg, Karl Henrik Johansson

We study a graph-theoretic approach to the ${\mathcal{H}}_{\infty }$ performance of leader following consensus dynamics on directed and undirected graphs. We first provide graph-theor…