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Exponential energy decay of some coupled second order systems
Authors:E. M. Ait Benhassi  K. Ammari  S. Boulite  L. Maniar
Affiliation:1. Faculté des Sciences Semlalia, LMDP, UMMISCO (IRD- UPMC), Université Cadi Ayyad, B.P. 2390, Marrakech, 40000, Morocco
2. Département de Mathématiques, Faculté des Sciences de Monastir, Université de Monastir, 5019, Monastir, Tunisie
3. Département de Mathématiques, Faculté des Sciences Ain Chock, Université Hassan II, Casablanca, Morocco
Abstract:In this paper we characterize the output feedback stabilization of some coupled systems with and without delay. The proof of the main result uses the method introduced in Haraux (Port. Math., 46:245–258, 1989), which consists of reducing the exponential decay of the closed loop system to an observability inequality of its corresponding conservative adjoint system.
Keywords:
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