We introduce the "total s-energy" of a multiagent system with time-dependent links. This provides a new analytical lens on bidirectional agreement dynamics, which we use to bound the convergence rates of dynamical systems for synchronization, flocking, opinion dynamics, and social epistemology.
@article{arxiv.1004.1447,
title = {The Total s-Energy of a Multiagent System},
author = {Bernard Chazelle},
journal= {arXiv preprint arXiv:1004.1447},
year = {2010}
}