Exponential decay rate for a Timoshenko beam with boundary damping

DOI10.1007/s10957-004-5728-xzbMath1068.35172OpenAlexW2069116532MaRDI QIDQ1770102

Siu Pang Yung, Gen-Qi Xu

Publication date: 8 April 2005

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-004-5728-x

zbMATH Keywords

exponential stabilityRiesz system

Mathematics Subject Classification ID

Related Items (21)

On a semilinear Timoshenko-Coleman-Gurtin system: quasi-stability and attractors ⋮ On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators ⋮ Stabilization of a laminated beam with interfacial slip by boundary controls ⋮ Exponential stability of string system with variable coefficients under non-collocated feedback controls ⋮ Riesz basis property of serially connected Timoshenko beams ⋮ Boundary stabilization of a Bresse-type system ⋮ Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping ⋮ Spectral analysis of a non‐homogeneous rotating Timoshenko beam ⋮ Dynamical behavior of a hybrid system of nonhomogeneous Timoshenko beam with partial non-collocated inputs ⋮ Optimal decay ratio of damped slowly rotating Timoshenko beams ⋮ The lack of exponential stability of the hybrid Bresse system ⋮ Viscoelastic Timoshenko beams with occasionally constant relaxation functions ⋮ Exponential stabilization of the Timoshenko system by a thermal effect with an oscillating kernel ⋮ About the stability to Timoshenko system with one boundary dissipation ⋮ The structural property of a class of vector-valued hyperbolic equations and applications ⋮ Stabilization of a viscoelastic Timoshenko beam ⋮ Asymptotic behavior of the Timoshenko-type system with nonlinear boundary control ⋮ Stabilization and SDG condition of serially connected vibrating strings system with discontinuous displacement ⋮ Stabilization of the Timoshenko beam by thermal effect ⋮ Rates of decay to non homogeneous Timoshenko model with tip body ⋮ Stabilisation of Timoshenko beam system with delay in the boundary control

Cites Work

• Boundary feedback stabilization of Timoshenko beam with boundary dissipation
• Analysis of vibration spectrum of a Timoshenko beam with boundary damping by the wave method
• The expansion of a semigroup and a Riesz basis criterion
• Exponential stability of variable coefficients Rayleigh beams under boundary feedback controls: a Riesz basis approach
• The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control
• Boundary Control of the Timoshenko Beam
• Boundary control of a Timoshenko beam attached to a rigid body: planar motion
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
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