Sufficient and necessary conditions of exponential stabilisation for a class of distributed second-order semilinear systems with time delay

被引：0

作者：

Delbouh, A. ^{[1
]}

Tsouli, A. ^{[2
]}

Ouarit, M. ^{[3
]}

机构：

[1] Hassan II Univ Casablanca, Lab Appl Math & Comp Sci LMAI, ENS, Casablanca, Morocco

[2] Hassan II Univ Casablanca, ENSAM, Casablanca, Morocco

[3] Hassan II Univ Casablanca, Fac Sci Ain Chock, Lab Fundamental & Appl Math LMFA, Casablanca, Morocco

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2025年 / 98卷 / 01期

关键词：

Semilinear systems; second order; feedback control; exponential stabilisation; decay estimate; time delay; EVOLUTION-EQUATIONS; STABILITY;

D O I：

10.1080/00207179.2024.2322660

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we investigate the problem of exponential stabilisation for a class of retarded distributed second-order semilinear systems by means of a bounded feedback control. The existence and uniqueness of mild solution for the considered systems are proved in Hilbert space framework. Sufficient and necessary conditions for exponential stabilisation are given. Some illustrating applications are provided.

引用

页码：115 / 124

页数：10

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