Null controllability from the exterior of a one-dimensional nonlocal heat equation

• Autorzy: Warma Mahamadi , Zamorano Sebastián
• Języki publikacji: EN

Abstrakty

EN

We consider the null controllability problem from the exterior for the one dimensional heat equation on the interval (−1, 1), associated with the fractional Laplace operator (−∂²_x)^s, where 0 < s < 1. We show that there is a control function, which is localized in a nonempty open set O ⊂ (R \ (−1, 1)), that is, at the exterior of the interval (−1, 1), such that the system is null controllable at any time T > 0 if and only if 1/2 < s < 1.

Słowa kluczowe

EN

fractional heat equation; exterior control; null controllability; controllability to the trajectories

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2019
• Tom: Vol. 48, No. 3
• Strony: 417--438
• Opis fizyczny: Bibliogr. 44 poz.

Twórcy

autor

Warma Mahamadi

• George Mason University, Department of Mathematical Sciences, Fairfax, VA 22030 (USA)

autor

Zamorano Sebastián

• Universidad de Santiago de Chile, Departamento de Matemática y Ciencia de la Computación, Facultad de Ciencia, Casilla 307-Correo 2, Santiago, Chile

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).