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math.AP2022★ 8 cited
Velocity Stabilization of a Wave Equation with a Nonlinear Dynamic Boundary Condition
Nicolas Vanspranghe, Francesco Ferrante, Christophe Prieur
This paper deals with a one-dimensional wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a c…
math.AP2022
Stabilization of the wave equation through nonlinear Dirichlet actuation
Nicolas Vanspranghe, Francesco Ferrante, Christophe Prieur
In this paper, we consider the problem of nonlinear (in particular, saturated) stabilization of the high-dimensional wave equation with Dirichlet boundary conditions. The wave dyna…