The Total s-Energy of a Multiagent System
Bernard Chazelle
TL;DR
This paper introduces the concept of total s-energy to analyze multiagent systems with dynamic links, providing bounds on convergence rates in various collective behaviors like synchronization and flocking.
Contribution
It presents a novel analytical framework using total s-energy to study convergence in multiagent systems with time-varying interactions.
Findings
Bounded the convergence rates of multiagent systems.
Applied the framework to synchronization, flocking, and opinion dynamics.
Provided new insights into social epistemology models.
Abstract
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.
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Taxonomy
TopicsOpinion Dynamics and Social Influence · Distributed Control Multi-Agent Systems · Nonlinear Dynamics and Pattern Formation