Optimal energy decay for a nonhomogeneous flexible beam with a tip mass

DOI10.1007/s10883-006-9002-4zbMath1124.35009OpenAlexW2044325543MaRDI QIDQ885021

Boumediène Chentouf, Jun-Min Wang

Publication date: 7 June 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-006-9002-4

zbMATH Keywords

stabilityboundary controlboundary feedback controlspectrum-determined growth conditionnonhomogeneous beamRiesz basis approach

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Groups and semigroups of linear operators (47D03)

Related Items

Bifurcation analysis of a composite cantilever beam via 1:3 internal resonance, A study on damping rates and boundary feedback control in distributed parameter vibrating systems, Exponential stabilization of a flexible structure: a delayed boundary force control versus a delayed boundary moment control, Stabilization of a uniform rotating disk-beam-mass system with boundary input disturbance, Exponential stability of a non-homogeneous rotating disk-beam-mass system, Well-posedness and exponential decay for the Euler-Bernoulli beam conveying fluid equation with non-constant velocity and dynamical boundary conditions, Control of a riser through the dynamic of the vessel, Modelling and stabilization of a nonlinear hybrid system of elasticity, Stabilization of a constrained one-link flexible arm with boundary disturbance, Stabilisation of a viscoelastic beam conveying fluid, Boundary control of a vertical nonlinear flexible manipulator considering disturbance observer and deflection constraint with torque and boundary force feedback signals, A piezoelectric Euler-Bernoulli beam with dynamic boundary control: stability and dissipative FEM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary controllability and observability of a one-dimensional nonuniform SCOLE system
• Semigroups of linear operators and applications to partial differential equations
• Boundary problems for ordinary differential equations with parameter in the boundary conditions
• Stabilization of a hybrid system of elasticity by feedback boundary damping
• Boundary feedback stabilization of a variant of the SCOLE model
• Boundary stabilization of a nonhomogeneous beam with rotatory inertia at the tip
• Boundary stabilization of nonhomogeneous beam by the frequency domain multiplier method
• Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
• On the Stabilization of a Flexible Beam with a Tip Mass
• Stabilisation d'une poutre. Étude du taux optimal de décroissance de l'énergie élastique
• On the zeros of exponential sums and integrals
• Riesz Basis Property and Exponential Stability of Controlled Euler--Bernoulli Beam Equations with Variable Coefficients
• Uniform Stabilization of a Hybrid System of Elasticity
• Riesz basis property, exponential stability of variable coefficient Euler–Bernoulli beams with indefinite damping