Boundary feedback stabilization of the undamped Timoshenko beam with both ends free

DOI10.1016/j.jmaa.2006.01.020zbMath1103.74040OpenAlexW2079978849MaRDI QIDQ860961

Chun-Guo Zhang

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.020

zbMATH Keywords

exponential stabilitymultiplier techniqueoperator semigroup

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Stabilization of systems by feedback (93D15) Stability of dynamical problems in solid mechanics (74H55) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

Related Items (8)

Stabilization of a laminated beam with interfacial slip by boundary controls ⋮ Active piezoelectric vibration control for a Timoshenko beam ⋮ Viscoelastic Timoshenko beams with occasionally constant relaxation functions ⋮ Port-Hamiltonian modelling and energy-based control of the Timoshenko beam. An approach based on structural invariants ⋮ Optimality conditions for a Timoshenko beam equation with periodic constraint ⋮ Stabilization of a viscoelastic Timoshenko beam ⋮ A finite difference scheme for solving the undamped Timoshenko beam equations with both ends free ⋮ A numerical method of the Euler-Bernoulli beam with optimal local Kelvin-Voigt damping

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
• Nonlinear feedback control of Timoshenko beam
• Boundary stabilization of a nonhomogeneous beam with rotatory inertia at the tip
• Spectrum and Stability for Elastic Systems with Global or Local Kelvin--Voigt Damping
• Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
• Equivalent Norms for Sobolev Spaces

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