On the asymptotic stabilization of the non-autonomous evolution equations in Hilbert spaces

IF 0.5 Q3 MATHEMATICS

Asian-European Journal of Mathematics Pub Date : 2023-10-21 DOI:10.1142/s1793557123502212

Hanen Damak, Mohamed Ali Hammami, Khouloud Maaloul

引用次数: 0

Abstract

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.

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Hilbert空间中非自治演化方程的渐近镇定

研究了Hilbert空间中一类演化方程的反馈镇定问题。利用Lyapunov函数方法，给出了闭环系统全局一致实际收敛的充分条件。基于全局零可控性，构造了一个保证不确定系统全局一致实用稳定的输出反馈控制器。最后给出了一个数值应用，说明了理论结果的适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.