Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
From MaRDI portal
Publication:2490770
DOI10.1016/j.na.2005.09.012zbMath1098.35025OpenAlexW2088923946MaRDI QIDQ2490770
Viorel Barbu, Roberto Triggiani, Irena Lasiecka
Publication date: 18 May 2006
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.09.012
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (58)
Stabilisation of parabolic semilinear equations ⋮ Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems ⋮ On the nonlocal stabilization by starting control of the normal equation generated from the Helmholtz system ⋮ Feedback boundary stabilization to trajectories for 3D Navier-Stokes equations ⋮ Local Stabilization of the Navier–Stokes Equations with a Feedback Controller Localized in an Open Subset of the Domain ⋮ Uniform Stabilization with Arbitrary Decay Rates of the Oseen Equation by Finite-Dimensional Tangential Localized Interior and Boundary Controls ⋮ Internal feedback stabilization of nonstationary solutions to semilinear parabolic systems ⋮ On an estimate connected with the stabilization of a normal parabolic equation by start control ⋮ On a Unique Continuation Property Related to the Boundary Stabilization of Magnetohydrodynamic Equations ⋮ Stabilization of a plane channel flow by wall normal controllers ⋮ Boundary feedback stabilization of Fisher's equation ⋮ Stabilization to trajectories for parabolic equations ⋮ Nonlocal stabilization by starting control of the normal equation generated by Helmholtz system ⋮ Boundary control for optimal mixing by Stokes flows ⋮ Feedback stabilization of a linear hydro-elastic system ⋮ Boundary stabilizing actuators for multi-phase fluids in a channel ⋮ The internal stabilization of the Stokes-Oseen equation by feedback point controllers ⋮ Global stabilizability to trajectories for the Schlögl equation in a Sobolev norm ⋮ Uniform stabilization to equilibrium of a nonlinear fluid-structure interaction model ⋮ Boundary feedback stabilisation of a viscous incompressible fluid in a bounded domain ⋮ Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators ⋮ Exponential stabilization of semilinear parabolic systems ⋮ Exponential stabilization of the linearized Navier-Stokes equation by pointwise feedback noise controllers ⋮ Global stabilization of the Navier-Stokes equations around an unstable steady state with mixed boundary kinetic energy controller ⋮ Normal feedback stabilization of periodic flows in a two-dimensional channel ⋮ Stabilizability for a Quasilinear Klein–Gordon-Wave System with Variable Coefficients ⋮ Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks ⋮ Boundary stabilization of the Navier-Stokes equations with feedback controller via a Galerkin method ⋮ Finite-dimensional stabilization of stationary Navier-Stokes systems ⋮ Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Stabilization of the simplest normal parabolic equation ⋮ Unique continuation properties of over-determined static Boussinesq problems with application to uniform stabilization of dynamic Boussinesq systems ⋮ Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback ⋮ Boundary stabilization of non-diagonal systems by proportional feedback forms ⋮ Learning an optimal feedback operator semiglobally stabilizing semilinear parabolic equations ⋮ Observer-based feedback boundary stabilization of the Navier-Stokes equations ⋮ Boundary stabilization of the stochastic heat equation by proportional feedbacks ⋮ Boundary optimal feedback controller for time-periodic Stokes-Oseen flows ⋮ Feedback stabilization of a thermal fluid system with mixed boundary control ⋮ Boundary stabilization of the phase field system by finite-dimensional feedback controllers ⋮ Feedback boundary stabilization of the three-dimensional incompressible Navier-Stokes equations ⋮ Small-time global stabilization of the viscous Burgers equation with three scalar controls ⋮ Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers ⋮ Feedback stabilization of 2D Navier-Stokes equations with Navier slip boundary conditions ⋮ Maximal \(L^p\)-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems ⋮ Internal feedback stabilization for parabolic systems coupled in zero or first order terms ⋮ Boundary stabilisation to non-stationary solutions for deterministic and stochastic parabolic-type equations ⋮ Approximate local output regulation for a class of nonlinear fluid flows ⋮ One method for the nonlocal stabilization of a Burgers-type equation by an impulse control ⋮ Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system ⋮ Remarks on the Internal Exponential Stabilization to a Nonstationary Solution for 1D Burgers Equations ⋮ Stabilization of semilinear heat equations, with fading memory, by boundary feedbacks ⋮ Boundary observability inequalities for the 3D Oseen–Stokes system and applications ⋮ Boundary stabilisation of the Navier–Stokes Equation with Fading Memory ⋮ Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers ⋮ Global stabilization of the Navier-Stokes equations around an unstable equilibrium state with a boundary feedback controller
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The regulator problem for parabolic equations with Dirichlet boundary control. I: Riccati's feedback synthesis and regularity of optimal solution
- Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
- Boundary feedback stabilizability of parabolic equations
- Unified theory for abstract parabolic boundary problems - a semigroup approach
- Singular perturbation and boundary layer for an abstract Cauchy problem
- Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
- On the stabilizability problem in Banach space
- Boundary control of parabolic systems: regularity of optimal solutions
- Stabilization for the 3D Navier-Stokes system by feedback boundary control.
- Exponential stabilization of hyperbolic systems with nonlinear, unbounded perturbations—riccati operator approach
- Feedback stabilization of Navier–Stokes equations
- Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
- Tangential boundary stabilization of Navier-Stokes equations
- Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
This page was built for publication: Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.