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

被引:2
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.
引用
收藏
页码:152 / 178
页数:27
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