Polynomial decay and control of a 1-d model for fluid-structure interaction.

DOI10.1016/S1631-073X(03)00169-9zbMath1083.93024OpenAlexW2082293233MaRDI QIDQ1408209

Enrique Zuazua, Zhang, X.

Publication date: 15 September 2003

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

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00169-9

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05)

Related Items (12)

Polynomial decay and control of a 1D hyperbolic-parabolic coupled system ⋮ State and output feedback boundary control for a coupled PDE-ODE system ⋮ Control, observation and polynomial decay for a coupled heat-wave system ⋮ Boundary control for a kind of coupled PDE-ODE system ⋮ Stabilization for a coupled PDE-ODE control system ⋮ Extremum seeking boundary control for PDE-PDE cascades ⋮ Reachability problems for a class of integro-differential equations ⋮ Exponential stability for the wave equations with local Kelvin-Voigt damping. ⋮ A note on optimal regularity and regularizing effects of point mass coupling for a heat-wave system ⋮ Inégalité d'observabilité du type logarithmique et estimation de la fonction de coût des solutions des équations hyperboliques ⋮ Optimal decay rates and the selfadjoint property in overdamped systems ⋮ Exact reachability for second-order integro-differential equations

Cites Work

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• On exact boundary zero-controllability of two-dimensional Navier-Stokes equations
• Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
• Explicit observability estimate for the wave equation with potential and its application
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• The cost of approximate controllability for heat equations: The linear case

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