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

作　　者：Alireza Jalili Rahmtati Genqi Xu Sohrab Effati 

机构地区：[1]Department of Mathematical Sciences,Sharif University of Technology,Azadi Ave.,Tehran,Iran [2]Department of Mathematics,Tianjin University,Nankai District,Tianjin,300072,China [3]Department of Applied Mathematics,Ferdowsi University of Mashhad,Azadi Square,Mashhad,Iran

出　　处：《Control Theory and Technology》2022年第3期338-348,共11页控制理论与技术（英文版）

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 C_(0-)semigroup 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.

关 键 词：Euler-Bernoulli beam Time delay Lyapunov method Spectral analysis 

分 类 号：O17[理学—数学]