Feedback stabilization of a class of evolution equations with delay

被引:0
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作者
E. M. Ait Benhassi
K. Ammari
S. Boulite
L. Maniar
机构
[1] Université Cadi Ayyad,Département de Mathématiques, Faculté des Sciences Semlalia
[2] Université de Monastir,Département de Mathématiques, Faculté des Sciences de Monastir
来源
关键词
34K06; 34K20; 35L05; 35L10; 47D06; 93D15; Systems with delay; Feedback stabilization; Observability inequality; Exponential decay; Semigroup;
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摘要
In this paper, we characterize the stabilization of some delay systems. The proof of the main result uses the method introduced in Ammari and Tucsnak (ESAIM COCV 6:361–386, 2001) where the exponential stability for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system.
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页码:103 / 121
页数:18
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