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Target formation on the circle by monotone system design

Target formation on the circle by monotone system design
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 that monotonically converge to target formations on the circle.
7106-7111
IEEE
Mostajeran, Cyrus
7b47a1d5-00df-4575-8828-1e473d58f82d
Lee, Jin Gyu
72159d3a-7694-466f-a26f-1e85564c5ebd
Van Goffrier, Graham
18877be8-d9be-4c90-a625-8f1c11b9cb84
Sepulchre, Rodolphe
84b23c9e-f6b9-4145-873e-55c9ac4b42af
Mostajeran, Cyrus
7b47a1d5-00df-4575-8828-1e473d58f82d
Lee, Jin Gyu
72159d3a-7694-466f-a26f-1e85564c5ebd
Van Goffrier, Graham
18877be8-d9be-4c90-a625-8f1c11b9cb84
Sepulchre, Rodolphe
84b23c9e-f6b9-4145-873e-55c9ac4b42af

Mostajeran, Cyrus, Lee, Jin Gyu, Van Goffrier, Graham and Sepulchre, Rodolphe (2021) Target formation on the circle by monotone system design. In, Proceedings of the 60th IEEE Conference on Decision and Control. (Proceedings of the IEEE Conference on Decision and Control, 2021-December) IEEE, pp. 7106-7111. (doi:10.1109/CDC45484.2021.9683688).

Record type: Book Section

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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Published date: 14 December 2021

Identifiers

Local EPrints ID: 482367
URI: http://eprints.soton.ac.uk/id/eprint/482367
PURE UUID: 1e3656f4-b17d-41df-b3cb-fa243d80f631
ORCID for Graham Van Goffrier: ORCID iD orcid.org/0000-0002-7470-1868

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Date deposited: 28 Sep 2023 16:37
Last modified: 18 Mar 2024 04:16

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Contributors

Author: Cyrus Mostajeran
Author: Jin Gyu Lee
Author: Graham Van Goffrier ORCID iD
Author: Rodolphe Sepulchre

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