On the Energy Decay of a Nonhomogeneous Hybrid System of Elasticity

被引：0
作者：
Aouragh, Moulay Driss [1 ]
El Boukili, Abderrahman [2 ]
机构：
[1] Moulay Ismail Univ, Dept Maths, M2I Lab, MAMCS Grp,FST, Errachidia, Morocco
[2] Moulay Ismail Univ, Dept Phys, FST, Errachidia, Morocco
来源：
RECENT ADVANCES IN MATHEMATICS AND TECHNOLOGY | 2020年
关键词：
Euler-Bernoulli beam; Boundary control; Stabilization; Riesz basis; RIESZ BASIS PROPERTY; EXPONENTIAL STABILITY;
D O I：
10.1007/978-3-030-35202-8_3
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we study the boundary stabilizing feedback control problem of well-known Scole model that has nonhomogeneous spatial parameters. By using an abstract result of Riesz basis, we show that the closed-loop system is a Riesz spectral system. The asymptotic distribution of eigenvalues, the spectrum-determinded growth condition and the exponential stability are concluded.
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页码：33 / 51
页数：19
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