Stability analysis of the Euler-Bernoulli beam with multi-delay controller

被引：0

作者：

Rahmtati, Alireza Jalili ^{[1
]}

Xu, Genqi ^{[2
]}

Effati, Sohrab ^{[3
]}

机构：

[1] Sharif Univ Technol, Dept Math Sci, Azadi Ave, Tehran, Iran

[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

[3] Ferdowsi Univ Mashhad, Dept Appl Math, Azadi Sq, Mashhad, Razavi Khorasan, Iran

来源：

CONTROL THEORY AND TECHNOLOGY | 2022年 / 20卷 / 03期

关键词：

Euler-Bernoulli beam; Time delay; Lyapunov method; Spectral analysis; BOUNDARY FEEDBACK STABILIZATION; TIME DELAYS; EXPONENTIAL STABILITY; INPUT DELAY; EQUATION; SYSTEMS;

D O I：

10.1007/s11768-022-00095-x

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 stabilization of an Euler-Bernoulli beam with time delays in the boundary controller. The boundary velocity feedback law is applied to obtain the closed-loop system. It is shown that this system generates a C0semigroup of linear operators. Moreover, the stability of the closed-loop system is discussed for different values of the controller constants and time delays via using spectral analysis and a suitable Lyapunov function.

引用

页码：338 / 348

页数：11

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