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Boundary stabilization of Ventcel’s problems. (Stabilisation frontière de problèmes de Ventcel.) (French) Zbl 0934.93057

The author studies the boundary stabilization for Ventcel’s problem associated with the wave equation. Strong energy decay by a stationary nonlinear feedback as well as exponential stabilization by evolutive Ventcel’s conditions are stated. Finally, by a spectral study, the author shows that the “natural” feedback is not sufficient for exponential stabilization.
Reviewer: O.Cârjá (Iaşi)

MSC:

93D15 Stabilization of systems by feedback
93C20 Control/observation systems governed by partial differential equations
93D20 Asymptotic stability in control theory
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