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arXiv · 2103.13913

Target formation on the circle by monotone system design

Cyrus Mostajeran·Jin Gyu Lee·Graham Van Goffrier·Rodolphe Sepulchre
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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.

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Cyrus Mostajeran, Jin Gyu Lee, Graham Van Goffrier, Rodolphe Sepulchre. 2021-03-25. Target formation on the circle by monotone system design. https://arxiv.org/abs/2103.13913

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