Target formation on the circle by monotone system design

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...

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Bibliographic Details
Main Authors Mostajeran, Cyrus, Lee, Jin Gyu, Van Goffrier, Graham, Sepulchre, Rodolphe
Format Journal Article
LanguageEnglish
Published 25.03.2021
Subjects
Mathematics - Dynamical Systems
Mathematics - Optimization and Control
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Summary: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.
DOI:10.48550/arxiv.2103.13913