Robustness of Contraction Metrics Computed by Radial Basis Functions

Peter Giesl; Sigurdur Hafstein; Iman Mehrabinezhad

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Paper

Robustness of Contraction Metrics Computed by Radial Basis Functions

Topics: Nonlinear Signals and Systems; System Modeling

In Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics ICINCO - Volume 1, 592-599, 2021

Authors: Peter Giesl ¹ ; Sigurdur Hafstein ² and Iman Mehrabinezhad ²

Affiliations: ¹ Department of Mathematics, University of Sussex, Falmer BN1 9QH, U.K. ; ² Faculty of Physical Sciences, University of Iceland, Dunhagi 5, IS-107 Reykjavik, Iceland

Keyword(s): Contraction Metric, Radial Basis Functions, Periodic Orbits, Dynamical System.

Abstract: We study contraction metrics computed for dynamical systems with periodic orbits using generalized interpolation with radial basis functions. The robustness of the metric with respect to perturbations of the system is proved and demonstrated for two examples from the literature.

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Paper citation in several formats:

Giesl, P., Hafstein, S. and Mehrabinezhad, I. (2021). Robustness of Contraction Metrics Computed by Radial Basis Functions. In Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - ICINCO; ISBN 978-989-758-522-7; ISSN 2184-2809, SciTePress, pages 592-599. DOI: 10.5220/0010572905920599

@conference{icinco21,
author={Peter Giesl and Sigurdur Hafstein and Iman Mehrabinezhad},
title={Robustness of Contraction Metrics Computed by Radial Basis Functions},
booktitle={Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - ICINCO},
year={2021},
pages={592-599},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010572905920599},
isbn={978-989-758-522-7},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - ICINCO
TI - Robustness of Contraction Metrics Computed by Radial Basis Functions
SN - 978-989-758-522-7
IS - 2184-2809
AU - Giesl, P.
AU - Hafstein, S.
AU - Mehrabinezhad, I.
PY - 2021
SP - 592
EP - 599
DO - 10.5220/0010572905920599
PB - SciTePress