$H^\infty$ Feedback Boundary Stabilization of the Two-Dimensional Navier–Stokes Equations

DOI10.1137/100782607zbMath1235.93202OpenAlexW2030140685MaRDI QIDQ3224966

Laetitia Thevenet, Sheetal Dharmatti, Jean-Pierre Raymond

Publication date: 13 March 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100782607

zbMATH Keywords

Navier-Stokes equationsstabilizationfeedback controlRiccati equationOseen equations\(H^\infty\) controlDirichlet control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Linear-quadratic optimal control problems (49N10) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (3)

Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers ⋮ Convergence of coprime factor perturbations for robust stabilization of Oseen systems ⋮ Interior and H^∞ feedback stabilization for sabra shell model of turbulence

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