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

Igor Romanov () and Alexey Shamaev ()
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Igor Romanov: National Research University Higher School of Economics
Alexey Shamaev: Institute for Problems in Mechanics RAS

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 3, No 15, 925-938

Abstract: Abstract 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.

Keywords: Controllability to rest; Wave equation; Boundary control; Bounded control; 35L05; 35L20; 35B37 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-021-01817-y

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