On the asymptotic stabilization of the nonautonomous evolution equations in Hilbert spaces

被引：0

作者：

Damak, Hanen ^{[1
]}

Hammami, Mohamed Ali ^{[1
]}

Maaloul, Khouloud ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, BP 1171, Sfax 3000, Tunisia

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 12期

关键词：

Controllers; Lyapunov methods; output feedback; nonautonomous evolution equations; practical stabilization; TIME-VARYING SYSTEMS; STABILITY; CONTROLLABILITY;

D O I：

10.1142/S1793557123502212

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the practical feedback stabilization of a class of evolution equations in Hilbert spaces. By using the Lyapunov function method, we give sufficient conditions for the global uniform practical convergence of the closed-loop system. Based on the global null-controllability, we construct an output feedback controller that guarantees global uniform practical stability of uncertain systems. A numerical application is given to show the applicability of our theoretical results.

引用

页数：15

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