Boundary feedback exponential stabilization of a Timoshenko beam with both ends free

DOI10.1080/00207170500095148zbMath1076.93024OpenAlexW2015567437MaRDI QIDQ4681132

Gen-Qi Xu

Publication date: 14 June 2005

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170500095148

zbMATH Keywords

Timoshenko beameigenvalueseigenfunctionsgeneralized eigenvectorscompact perturbationclosed-loop controlasymptotic exponential stabilitystabilization of vibrationsuncoupled elastic wave operators

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Perturbations in control/observation systems (93C73) Eigenvalue problems (93B60) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items

On a semilinear Timoshenko-Coleman-Gurtin system: quasi-stability and attractors ⋮ 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 ⋮ Uniform stability of a laminated beam with structural memory ⋮ Approximate Controllability of Infinite Dimensional Systems of the n-th Order ⋮ Exponential stabilization of a structure with interfacial slip ⋮ Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping ⋮ A finite difference scheme for solving the Timoshenko beam equations with boundary feedback ⋮ Numerical simulation in the partial differential equation controllability analysis with physically meaningful constraints ⋮ Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping ⋮ Adaptive stabilization of a Timoshenko system by boundary feedback controls ⋮ Dynamical behavior of a hybrid system of nonhomogeneous Timoshenko beam with partial non-collocated inputs ⋮ Stability of a viscoelastic Timoshenko system with non-monotonic kernel ⋮ One-parameter spectral Galerkin methods for Timoshenko beam system with delay boundary feedback ⋮ Viscoelastic Timoshenko beams with occasionally constant relaxation functions ⋮ Exponential stabilization of the Timoshenko system by a thermal effect with an oscillating kernel ⋮ Boundary Feedback Stabilization for the Intrinsic Geometrically Exact Beam Model ⋮ Stabilization of a viscoelastic Timoshenko beam ⋮ A finite difference scheme for solving the undamped Timoshenko beam equations with both ends free ⋮ Exponential stability of uniform Euler-Bernoulli beams with non-collocated boundary controllers ⋮ Exponential stabilisation of a simple tree-shaped network of Timoshenko beams system ⋮ Stabilization of the Timoshenko beam by thermal effect ⋮ Stabilisation of Timoshenko beam system with a tip payload under the unknown boundary external disturbances ⋮ Stabilization of a viscoelastic Timoshenko beam fixed into a moving base ⋮ Stabilisation of Timoshenko beam system with delay in the boundary control

Cites Work

• Analysis of vibration spectrum of a Timoshenko beam with boundary damping by the wave method
• Boundary Control of the Timoshenko Beam
• Boundary control of a Timoshenko beam attached to a rigid body: planar motion
• Feedback stabilization of a Timoshenko beam with an end mass
• Eigenvalue formulas for the uniform Timoshenko beam: the free-free problem
• Stabilization of Timoshenko Beam by Means of Pointwise Controls
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
• THE EFFECTS OF SHEAR FLEXIBILITY AND ROTATORY INERTIA ON THE BENDING VIBRATIONS OF BEAMS

This page was built for publication: Boundary feedback exponential stabilization of a Timoshenko beam with both ends free