Robustness of contraction metrics computed by radial basis functions

Peter Giesl; Sigurdur Hafstein; Iman Mehrabinezhad

doi:10.5220/0010572905920599

Robustness of contraction metrics computed by radial basis functions

Peter Giesl, Sigurdur Hafstein, Iman Mehrabinezhad

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021
Editors	Oleg Gusikhin, Henk Nijmeijer, Kurosh Madani
Publisher	SciTePress
Pages	592-599
Number of pages	8
ISBN (Electronic)	9789897585227
DOIs	https://doi.org/10.5220/0010572905920599
Publication status	Published - 1 Jan 2021
Event	18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021 - Virtual, Online Duration: 6 Jul 2021 → 8 Jul 2021

Publication series

Name	Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021

Conference

Conference	18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021
City	Virtual, Online
Period	6/07/21 → 8/07/21

Bibliographical note

Publisher Copyright:
© 2021 by SCITEPRESS - Science and Technology Publications, Lda. All rights reserved

Other keywords

Contraction metric
Dynamical system
Periodic orbits
Radial basis functions

Access to Document

10.5220/0010572905920599

Cite this

Giesl, P., Hafstein, S., & Mehrabinezhad, I. (2021). Robustness of contraction metrics computed by radial basis functions. In O. Gusikhin, H. Nijmeijer, & K. Madani (Eds.), Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021 (pp. 592-599). (Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021). SciTePress. https://doi.org/10.5220/0010572905920599

Giesl, Peter ; Hafstein, Sigurdur ; Mehrabinezhad, Iman. / Robustness of contraction metrics computed by radial basis functions. Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021. editor / Oleg Gusikhin ; Henk Nijmeijer ; Kurosh Madani. SciTePress, 2021. pp. 592-599 (Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021).

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title = "Robustness of contraction metrics computed by radial basis functions",

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.",

keywords = "Contraction metric, Dynamical system, Periodic orbits, Radial basis functions",

author = "Peter Giesl and Sigurdur Hafstein and Iman Mehrabinezhad",

note = "Publisher Copyright: {\textcopyright} 2021 by SCITEPRESS - Science and Technology Publications, Lda. All rights reserved; 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021 ; Conference date: 06-07-2021 Through 08-07-2021",

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doi = "10.5220/0010572905920599",

language = "English",

series = "Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021",

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Giesl, P, Hafstein, S & Mehrabinezhad, I 2021, Robustness of contraction metrics computed by radial basis functions. in O Gusikhin, H Nijmeijer & K Madani (eds), Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021. Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021, SciTePress, pp. 592-599, 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021, Virtual, Online, 6/07/21. https://doi.org/10.5220/0010572905920599

Robustness of contraction metrics computed by radial basis functions. / Giesl, Peter; Hafstein, Sigurdur; Mehrabinezhad, Iman.
Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021. ed. / Oleg Gusikhin; Henk Nijmeijer; Kurosh Madani. SciTePress, 2021. p. 592-599 (Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Mehrabinezhad, Iman

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Giesl P, Hafstein S, Mehrabinezhad I. Robustness of contraction metrics computed by radial basis functions. In Gusikhin O, Nijmeijer H, Madani K, editors, Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021. SciTePress. 2021. p. 592-599. (Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021). doi: 10.5220/0010572905920599

Robustness of contraction metrics computed by radial basis functions

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