Boundary stabilization of the linear elastodynamic system by a Lyapunov-type method.

DOI10.5209/rev_REMA.2003.v16.n2.16815zbMath1050.93060OpenAlexW1988784002MaRDI QIDQ1432785

Amar Heminna, Rabah Bey, Jean-Pierre Lohéac

Publication date: 22 June 2004

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/44506

zbMATH Keywords

boundary stabilizationelastodynamic linear system

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Classical linear elasticity (74B05) Attainable sets, reachability (93B03)

Related Items (10)

Boundary stabilization of elastodynamic systems. II: The case of a linear feedback ⋮ Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping ⋮ Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems ⋮ Stabilization of the damped wave equation with Cauchy-Ventcel boundary conditions ⋮ Uniform decay rate estimates for the 2D wave equation posed in an inhomogeneous medium with exponential growth source term, locally distributed nonlinear dissipation, and dynamic Cauchy–Ventcel–type boundary conditions ⋮ Stabilization of non-homogeneous elastic materials with voids ⋮ Stabilization of second-order evolution equations with time delay ⋮ Internal observability, controllability and stabilization of the inhomogeneous and anisotropic elastic wave equation ⋮ Uniform stabilization for the semilinear wave equation in an inhomogeneous medium with locally distributed nonlinear damping and dynamic Cauchy–Ventcel type boundary conditions ⋮ Stabilisation of a wave equation with localised memory term and boundary frictional damping

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