Uniform exponential stabilization of distributed bilinear parabolic time delay systems with bounded feedback control

• Autorzy: Tsouli Azzeddine , Ouarit Mostafa

Identyfikatory

DOI

10.24425/acs.2022.141712

• Języki publikacji: EN

Abstrakty

EN

In this paper we deal with the problem of uniform exponential stabilization for a class of distributed bilinear parabolic systems with time delay in a Hilbert space by means of a bounded feedback control. The uniform exponential stabilization problem of such a system reduces to stabilizing only its projection on a suitable finite dimensional subspace. Furthermore, the stabilizing feedback control depends only on the state projection on the finite dimensional subspace. An explicit decay rate estimate of the stabilized state is given provided that a non-standard weaker observability condition is satisfied. Illustrative examples for partial functional differential equations are displayed.

Słowa kluczowe

EN

time delay; uniform exponential stabilization; bilinear parabolic systems; bounded feedback control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2022
• Tom: Vol. 32, No. 2
• Strony: 257--278
• Opis fizyczny: Bibliogr. 21 poz., wzory

Twórcy

autor

Tsouli Azzeddine

• Laboratory of Mathematics and Applications, ENSAM, Hassan II University of Casablanca, Morocco

autor

Ouarit Mostafa

• Laboratory of Fundamental and Applied Mathematics LAMFA, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, Morocco

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)