Exact Bounded Boundary Controllability to Rest for the Two-Dimensional Wave Equation

The problem of the exact bounded control of oscillations of the two-dimensional membrane is considered. Control force is applied to the boundary of the membrane, which is located in a domain on a plane. The goal of the control is to drive the system to rest in finite time.

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Veröffentlicht in:Journal of optimization theory and applications 2021-03, Vol.188 (3), p.925-938
Hauptverfasser: Romanov, Igor, Shamaev, Alexey
Format: Artikel
Sprache:eng
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Zusammenfassung:The problem of the exact bounded control of oscillations of the two-dimensional membrane is considered. Control force is applied to the boundary of the membrane, which is located in a domain on a plane. The goal of the control is to drive the system to rest in finite time.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-021-01817-y