Stabilization of an Euler-Bernoulli beam with distributed damping under time delays in the boundary

DOI10.1007/s10440-022-00466-1zbMath1482.35041OpenAlexW4206188187MaRDI QIDQ2073598

Hao Chen, Yaru Xie, Yan-Fang Li

Publication date: 3 February 2022

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-022-00466-1

zbMATH Keywords

Lyapunov functionEuler-Bernoulli beam equationboundary delayinterior dampingexponential stability region

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Cites Work

• Forced oscillation of nonlinear fractional differential equations with damping term
• Dynamic feedback control and exponential stabilization of a compound system
• The structural property of a class of vector-valued hyperbolic equations and applications
• Stabilization of an Euler-Bernoulli beam with input delay in the boundary control
• Uniform stabilization of a wave equation with partial Dirichlet delayed control
• Method of Lyapunov functionals construction in stability of delay evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Two questions concerning the boundary control of certain elastic systems
• Time-delay systems: an overview of some recent advances and open problems.
• Exponential stability of the Euler-Bernoulli beam equation with external disturbance and output feedback time-delay
• Boundary stabilization of a hybrid Euler-Bernoulli beam
• Uniform stabilization of 1-d wave equation with anti-damping and delayed control
• Dynamic stabilization of an Euler-Bernoulli beam equation with time delay in boundary observation
• Vibration control of an Euler–Bernoulli beam under unknown spatiotemporally varying disturbance
• Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional Schrödinger equation subject to boundary control matched disturbance
• Wave Equation Stabilization by Delays Equal to Even Multiples of the Wave Propagation Time
• Boundary feedback stabilization by time delay for one-dimensional wave equations
• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
• Feedback stabilization of linear systems with delayed control
• Linear systems with delayed controls: A reduction
• Further theoretical results on direct strain feedback control of flexible robot arms
• Rapid stabilisation of multi-dimensional Schrödinger equation with the internal delay control
• Two examples of ill-posedness with respect to small time delays in stabilized elastic systems
• Eigenvalue Assignment via the Lambert W Function for Control of Time-delay Systems
• Lyapunov-Based Vibration Control of Translational Euler-Bernoulli Beams Using the Stabilizing Effect of Beam Damping Mechanisms
• Stability analysis of Euler‐Bernoulli beam with input delay in the boundary control
• Functional differential equations

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