Target formation on the circle by monotone system design
Optimization and Control
2021-09-28 v2 Dynamical Systems
Abstract
Positivity and Perron-Frobenius theory provide an elegant framework for the convergence analysis of linear consensus algorithms. Here we consider a generalization of these ideas to the analysis of nonlinear consensus algorithms on the circle and establish tools for the design of consensus protocols that monotonically converge to target formations on the circle.
Cite
@article{arxiv.2103.13913,
title = {Target formation on the circle by monotone system design},
author = {Cyrus Mostajeran and Jin Gyu Lee and Graham Van Goffrier and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:2103.13913},
year = {2021}
}