Boundary stabilization of elastodynamic systems. II: The case of a linear feedback
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Publication:619282
DOI10.1007/S10883-010-9097-5zbMath1203.93169OpenAlexW1969116752MaRDI QIDQ619282
Jean-Pierre Lohéac, Romain Brossard
Publication date: 24 January 2011
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-010-9097-5
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Classical linear elasticity (74B05)
Related Items (5)
Boundary stabilisation of the wave equation in the presence of singularities ⋮ Stabilization of the wave equation in a polygonal domain with cracks ⋮ Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems ⋮ Stabilization of non-homogeneous elastic materials with voids ⋮ Boundary stabilization of elastodynamic systems. I: Rellich-type relations for a problem in elasticity involving singularities
Cites Work
- A direct method for the boundary stabilization of the wave equation
- Implications of sharp trace regularity results on boundary stabilization of the system of linear elasticity
- Boundary stabilization of the elastodynamic system in a plane polygonal domain
- Boundary stabilization of the linear elastodynamic system by a Lyapunov-type method.
- Singularities of the solution of a mixed problem for a general second order elliptic equation and boundary stabilization of the wave equation.
- Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. (Exact controllability of solutions to the wave equation under presence of singularities)
- Boundary Stabilization of Linear Elastodynamic Systems
- Uniform asymptotic energy estimates for solutions of the equations of dynamic plane elasticity with nonlinear dissipation at the boundary
- Boundary Observability, Controllability, and Stabilization of Linear Elastodynamic Systems
- Stabilisation frontière du système de l'élasticité. Nouvelle approche
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