Translational and Rotational Invariance in Networked Dynamical Systems.

In this paper, we study the translational and rotational (SE(N)) invariance properties of locally interacting multiagent systems. We focus on a class of networked dynamical systems, in which the agents have local pairwise interactions, and the overall effect of the interaction on each agent is the sum of the interactions with other agents. We show that such systems are SE(N)-invariant if and only ...