Normal feedback stabilization of periodic flows in a two-dimensional channel

DOI10.1007/s10957-011-9910-7zbMath1237.93153OpenAlexW2020303008MaRDI QIDQ415378

Ionuţ Munteanu

Publication date: 8 May 2012

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-011-9910-7

zbMATH Keywords

Navier-Stokes equationsfeedback controllerFourier decompositionanalytic \(C _{0}\)-semigroups

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 (35Q30) Control/observation systems in abstract spaces (93C25)

Related Items (11)

Stabilization of a 3-D periodic channel flow by explicit normal boundary feedbacks ⋮ Feedback boundary stabilization to trajectories for 3D Navier-Stokes equations ⋮ Normal Feedback Stabilization of Periodic Flows in a Three-Dimensional Channel ⋮ Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations ⋮ Boundary optimal control of time-periodic Stokes-Oseen flows ⋮ Stabilization of the non-homogeneous Navier–Stokes equations in a 2d channel ⋮ Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks ⋮ Null controllability of the incompressible Stokes equations in a 2-D channel using normal boundary control ⋮ Open loop stabilization of incompressible Navier-Stokes equations in a 2d channel using power series expansion ⋮ Boundary feedback stabilization of Boussinesq equations ⋮ Boundary stabilisation of the Navier–Stokes Equation with Fading Memory

Cites Work

• Tangential feedback stabilization of periodic flows in a 2-D channel.
• Exponential stabilization of the linearized Navier-Stokes equation by pointwise feedback noise controllers
• Control of mixing by boundary feedback in 2D channel flow.
• Stability enhancement of a 2-D linear Navier-Stokes channel flow by a 2-D, wall-normal boundary controller
• Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
• Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
• Stability enhancement by boundary control in 2-D channel flow
• On the Null Asymptotic Stabilization of the Two-Dimensional Incompressible Euler Equations in a Simply Connected Domain
• A Closed-Form Feedback Controller for Stabilization of the Linearized 2-D Navier–Stokes Poiseuille System
• The formation and evolution of synthetic jets
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