A localized nonstandard stabilizer for the Timoshenko beam

DOI10.1016/j.crma.2015.01.004zbMath1310.74030OpenAlexW2053120775MaRDI QIDQ2338980

Louis Roder Tcheugoué Tébou

Publication date: 27 March 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.01.004

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) Stability in context of PDEs (35B35) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (10)

Stability of a Timoshenko system with local Kelvin-Voigt damping ⋮ Polynomial decay for the Timoshenko system with dynamical boundary conditions ⋮ On porous-elastic system with localized damping ⋮ Stability and Regularity of Solution to the Timoshenko Beam Equation with Local Kelvin--Voigt Damping ⋮ Stability analysis of a Timoshenko beam with local degenerate viscoelastic damping ⋮ Exponential stability of a mixture of two elastic solids with a degenerate weak damping mechanism ⋮ Indirect stabilization of a Mindlin-Timoshenko plate ⋮ Polynomial decay of an elastic/viscoelastic waves interaction system ⋮ Simultaneous and indirect control of waves: Some recent developments and open problems ⋮ A transmission problem for the Timoshenko system with one local Kelvin-Voigt damping and non-smooth coefficient at the interface

Cites Work

• Indirect boundary stabilization of the Timoshenko system
• Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
• Simultaneous observability and stabilization of some uncoupled wave equations
• The stability number of the Timoshenko system with second sound
• Energy decay rate of the thermoelastic Bresse system
• On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
• Energy decay for Timoshenko systems of memory type.
• Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping
• Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control
• Timoshenko systems with indefinite damping
• Stabilization of the uniform Timoshenko beam by one locally distributed feedback
• On the Spectrum of C 0 -Semigroups
• Boundary Control of the Timoshenko Beam
• A Note on Weak Stabilizability of Contraction Semigroups
• Stabilisation de la poutre de Timoshenko
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