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Saturated Boundary Feedback Stabilization of a Linear Wave Equation

Saturated Boundary Feedback Stabilization of a Linear Wave Equation

In this paper, we study boundary feedback stabilization of a linear wave equation by saturated linear or nonlinear Neumann control laws. Firstly we prove asymptotic stabilization of the closed-loop system when the feedback control law has a linear growth rate around zero. In particular, we study the effect of spatial …