Adaptive stabilization of a Timoshenko system by boundary feedback controls

Jamilu Hashim Hassan; Nasser eddine Tatar

doi:10.1002/mma.7803

Adaptive stabilization of a Timoshenko system by boundary feedback controls

Jamilu Hashim Hassan^*, Nasser eddine Tatar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this work, we investigate the global existence and boundary adaptive stabilization of an undamped Timoshenko beam equation subject to two control inputs at the right end. High gain adaptive regulators are designed based on the velocity feedbacks measured at the right end. We prove an exponential stability result for the system using the multiplier method.

Original language	English
Pages (from-to)	657-666
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	45
Issue number	2
DOIs	https://doi.org/10.1002/mma.7803
State	Published - 30 Jan 2022

Bibliographical note

Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.

Keywords

Timoshenko system
adaptive stabilization
boundary control
closed-loop system
exponential stability

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.7803

Cite this

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title = "Adaptive stabilization of a Timoshenko system by boundary feedback controls",

abstract = "In this work, we investigate the global existence and boundary adaptive stabilization of an undamped Timoshenko beam equation subject to two control inputs at the right end. High gain adaptive regulators are designed based on the velocity feedbacks measured at the right end. We prove an exponential stability result for the system using the multiplier method.",

keywords = "Timoshenko system, adaptive stabilization, boundary control, closed-loop system, exponential stability",

author = "Hassan, \{Jamilu Hashim\} and Tatar, \{Nasser eddine\}",

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AU - Hassan, Jamilu Hashim

AU - Tatar, Nasser eddine

PY - 2022/1/30

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N2 - In this work, we investigate the global existence and boundary adaptive stabilization of an undamped Timoshenko beam equation subject to two control inputs at the right end. High gain adaptive regulators are designed based on the velocity feedbacks measured at the right end. We prove an exponential stability result for the system using the multiplier method.

AB - In this work, we investigate the global existence and boundary adaptive stabilization of an undamped Timoshenko beam equation subject to two control inputs at the right end. High gain adaptive regulators are designed based on the velocity feedbacks measured at the right end. We prove an exponential stability result for the system using the multiplier method.

KW - Timoshenko system

KW - adaptive stabilization

KW - boundary control

KW - closed-loop system

KW - exponential stability

UR - https://www.scopus.com/pages/publications/85114732315

U2 - 10.1002/mma.7803

DO - 10.1002/mma.7803

M3 - Article

AN - SCOPUS:85114732315

SN - 0170-4214

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 2

ER -

Adaptive stabilization of a Timoshenko system by boundary feedback controls

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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