Consensus and Flocking under Communication Failures for a Class of Cucker-Smale Systems
Optimization and Control
2021-05-04 v7
Abstract
In this paper, we study sufficient conditions for the emergence of asymptotic consensus and flocking in a certain class of non-linear generalised Cucker-Smale systems subject to multiplicative communication failures. Our approach is based on the combination of strict Lyapunov design together with the formulation of a suitable persistence condition for multi-agent systems. The latter can be interpreted as a lower bound on the algebraic connectivity of the time-average of the interaction graph generated by the communication weights, and provides quantitative decay estimates for the variance functional along the solutions of the system.
Cite
@article{arxiv.1904.01368,
title = {Consensus and Flocking under Communication Failures for a Class of Cucker-Smale Systems},
author = {Benoît Bonnet and Émilien Flayac},
journal= {arXiv preprint arXiv:1904.01368},
year = {2021}
}