On local finite-time stabilization of the w via boundary switched linear feedback

Nicolas Espitia; Andrey Polyakov; Emilia Fridman

doi:10.1109/CDC40024.2019.9029530

On local finite-time stabilization of the w via boundary switched linear feedback

Nicolas Espitia, Andrey Polyakov, Emilia Fridman

School of Electrical Engineering

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

2 Scopus citations

Abstract

This paper considers the problem of local finite-time stabilization of the viscous Burgers equation. A boundary switched linear control with state dependent switching law is designed based on the Backstepping approach. The strategy builds on discontinuous kernels which render the control function a piecewise continuous one. It is proved that such a control stabilizes locally the viscous Burgers equation and that the settling time depends on initial conditions. A simulation result is provided to validate the theoretical results.

Original language	English
Title of host publication	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4029-4034
Number of pages	6
ISBN (Electronic)	9781728113982
DOIs	https://doi.org/10.1109/CDC40024.2019.9029530
State	Published - Dec 2019
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France Duration: 11 Dec 2019 → 13 Dec 2019

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2019-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Country/Territory	France
City	Nice
Period	11/12/19 → 13/12/19

Funding

Funders	Funder number
Ministry of Education and Science of the Russian Federation	08-08
Government Council on Grants, Russian Federation

Access to Document

10.1109/CDC40024.2019.9029530

Cite this

Espitia, N., Polyakov, A., & Fridman, E. (2019). On local finite-time stabilization of the w via boundary switched linear feedback. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (pp. 4029-4034). Article 9029530 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC40024.2019.9029530

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title = "On local finite-time stabilization of the w via boundary switched linear feedback",

abstract = "This paper considers the problem of local finite-time stabilization of the viscous Burgers equation. A boundary switched linear control with state dependent switching law is designed based on the Backstepping approach. The strategy builds on discontinuous kernels which render the control function a piecewise continuous one. It is proved that such a control stabilizes locally the viscous Burgers equation and that the settling time depends on initial conditions. A simulation result is provided to validate the theoretical results.",

author = "Nicolas Espitia and Andrey Polyakov and Emilia Fridman",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 58th IEEE Conference on Decision and Control, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

year = "2019",

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doi = "10.1109/CDC40024.2019.9029530",

language = "אנגלית",

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Espitia, N, Polyakov, A & Fridman, E 2019, On local finite-time stabilization of the w via boundary switched linear feedback. in 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9029530, Proceedings of the IEEE Conference on Decision and Control, vol. 2019-December, Institute of Electrical and Electronics Engineers Inc., pp. 4029-4034, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9029530

On local finite-time stabilization of the w via boundary switched linear feedback. / Espitia, Nicolas; Polyakov, Andrey; Fridman, Emilia.
2019 IEEE 58th Conference on Decision and Control, CDC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 4029-4034 9029530 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December).

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

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AB - This paper considers the problem of local finite-time stabilization of the viscous Burgers equation. A boundary switched linear control with state dependent switching law is designed based on the Backstepping approach. The strategy builds on discontinuous kernels which render the control function a piecewise continuous one. It is proved that such a control stabilizes locally the viscous Burgers equation and that the settling time depends on initial conditions. A simulation result is provided to validate the theoretical results.

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On local finite-time stabilization of the w via boundary switched linear feedback

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