Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7380
Title: Boosting the decay of solutions of the linearised Korteweg-de Vries–Burgers equation to a predetermined rate from the boundary
Authors: Özsarı, Türker
Arabacı, Eda
Keywords: Back-stepping
Boundary controller
Feedback stabilisation
Korteveg-de-Vries–Burgers equation
Observer design
Issue Date: 2019
Publisher: Taylor and Francis Ltd.
Source: Özsarı, T. and Arabacı, E. (2019). Boosting the decay of solutions of the linearised Korteweg-de Vries–Burgers equation to a predetermined rate from the boundary. International Journal of Control, 92(8), 1753-1763. doi:10.1080/00207179.2017.1408923
Abstract: The aim of this article is to extend recent results on the boundary feedback controllability of the Korteweg-de Vries equation to the Korteweg-de Vries–Burgers equation which is posed on a bounded domain. In the first part of the paper, it is proven that all the sufficiently small solutions can be steered to zero at any desired exponential rate by means of a suitably constructed boundary feedback controller. In the second part, an observer is proposed when a type of boundary measurement is available while there is no full access to the medium.
URI: https://doi.org/10.1080/00207179.2017.1408923
https://hdl.handle.net/11147/7380
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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