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Target formation on the circle by monotone system design

Mostajeran, C; Lee, JG; Van Goffrier, G; Sepulchre, R; (2022) Target formation on the circle by monotone system design. In: Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC). (pp. pp. 7106-7111). IEEE: Austin, TX, USA. Green open access

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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.

Type: Proceedings paper
Title: Target formation on the circle by monotone system design
Event: 2021 60th IEEE Conference on Decision and Control (CDC)
Dates: 14 Dec 2021 - 17 Dec 2021
ISBN-13: 9781665436595
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/CDC45484.2021.9683688
Publisher version: https://doi.org/10.1109/CDC45484.2021.9683688
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Couplings, Algebra, Conferences, Limit-cycles, Consensus algorithm, Graph theory, Nonlinear dynamical systems
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10146563
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