Volume 46, Issue 6 pp. 7489-7513
RESEARCH ARTICLE

Stabilization of distributed systems via bilinear boundary control

Mustapha Benoudi

Corresponding Author

Mustapha Benoudi

MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco

Correspondence

Mustapha Benoudi, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes 50000, Morocco.

Email: [email protected]

Communicated by: A. Debbouche

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El Hassan Zerrik

El Hassan Zerrik

MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco

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Rachid Larhrissi

Rachid Larhrissi

MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco

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First published: 11 January 2023
Citations: 5

Funding information: This study received no outside funding.

Abstract

In this paper, the focal point is to study the stabilization problem of distributed systems via bilinear boundary control. Hence, we give some sufficient conditions to ensure weak, strong, and exponential stabilization of the considered system. Finally, an example of application is devoted, and the attained results are illustrated through numerical simulations.

CONFLICT OF INTEREST

There are no conflicts of interest declared by the authors.

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