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		Alireza Jalili Rahmtati1,Genqi Xu2,Sohrab Effati3.[en_title][J].Control Theory and Technology,2022,20(3):338~348.[Copy]

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Stability analysis of the Euler-Bernoulli beam with multi-delay controller
AlirezaJaliliRahmtati1,GenqiXu2,SohrabEffati3
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(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)

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 C0- 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

DOI：https://doi.org/10.1007/s11768-022-00095-x

基金项目:

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

Alireza Jalili Rahmtati1,Genqi Xu2,Sohrab Effati3

(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)

Abstract:

Key words: Euler-Bernoulli beam · Time delay · Lyapunov method · Spectral analysis