Polynomial stability and weak stabilization for some partial functional differential equations with delay

被引:1
|
作者
Boumasmoud, Soufiane [1 ]
Ezzinbi, Khalil [1 ,2 ]
机构
[1] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Math, LMDP, Blvd Prince My Abdellah,BP 2390, Marrakech 40000, Morocco
[2] Sorbonne Univ, EDITE 8, IRD, UMMISCO,ED130, Paris, France
关键词
partial functional differential equations; delayed systems; polynomial stability; weak stabilization; FEEDBACK; DYNAMICS; BEAMS;
D O I
10.1093/imamci/dnad004
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The feedback stabilization of a class of delayed evolution equations in real Hilbert space is considered. By virtue of an observability-type inequality and a delayed control, sufficient conditions ensuring the strong and weak stabilization are provided. For the strong stabilization, the speed of convergence is successfully established. Various applications with numerical simulations are considered.
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页码:152 / 178
页数:27
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